1989 Fiscal Year Annual Research Report

代数幾何学とHodge理論

Research Project

Project/Area Number	01306001
Research Institution	Kochi University
Principal Investigator	臼井三平高知大学, 理学部, 助教授 (90117002)
Co-Investigator(Kenkyū-buntansha)	隅広秀康広島大学, 理学部, 助教授 (60068129) 難波誠大阪大学, 教養部, 教授 (60004462) 川又雄二郎東京大学, 理学部, 助教授 (90126037) 今野一宏東北大学, 理学部, 助手 (10186869) 斎藤政彦北海道大学, 理学部(教養部), 講師 (80183044)
Keywords	(混合)周期写像 / (混合)Torelli問題 / モジュライ / (混合)Hodge構造 / 一般型曲面 / 楕円曲面 / 変形理論 / 退化理論
Research Abstract	次の三つの会を催した。 (1)代数幾何学とHodge理論研究集会、1989年8月23ー28日、於北大理、主催者:臼井三平、参加者42名、旅費謝金支給者11名。 (2)代数幾何学とHodge理論ワ-クショップ、1989年11月28日ー12月1日、於高知大理、主催者:臼井三平、参加者31名、旅費支給者7名。 (3)代数幾何学ミニシンポジュ-ム、1989年12月21ー22日、於東大理、主催者:川又雄二郎、参加者73名、旅費謝金支給者8名。 (1)と(2)では、計画書及び申請書に記したように、1990年8月に京都で開催される国際数学者会議、東京で開催される代数幾何学と複素多様体のサテライトコンファレンスの準備の一環として、代数幾何学とHodge理論の関係に重点をおいて、各自の研究成果を発表し、世界でのこの分野の動向について討論した。そのうち特に、3次元の分類論の成果を踏まえた曲面の分類・退化および変形理論と、それに伴なう(混合)Hodge構造の変形理論が全体を通じての主題であった。(1)と(2)での成果はまとめて北大講究録シリ-ズとして1990年5月頃に公表し、世界の主要研究所に配布する予定であり、現在準備中である。投稿者18名。 (3)は総合研究(A)(代表者:宮西正宜、阪大理)との共催によるもので、テ-マをより広く代数幾何学とし、若手研究者を主体とした会であった。この成果は上記の総合研究(A)により、公表される。以上の外、臼井と分担者の斎藤政彦、今野一宏は特に密接に連絡を取り合い、曲面のTorelli問題について討議を深めた。なお、代表者・分担者等の研究発表については、裏面11欄に記入出来なかった分は別紙として添える。交付額の範囲内で上記の計画を実施するため旅費不足となり、当初予定していた印刷費を旅費の補充とし、研究成果の公表は上記の様にした。

Research Products

(91 results)

All Other

All Publications (91 results)

[Publications] S.Usui: "Type I degeneration of Kunev surfaces" Asterisque.
[Publications] S.Usui: "Type I degeneration of Kunev surfaces,II" Mem.Fac.Sci.Kochi Univ.(Math.). 11. 45-64 (1990)
[Publications] S.Usui: "Mixed Torelli problem for Todorov surfaces"
[Publications] M.-H.Saito: "On the Torelli problem for fiber spaces"
[Publications] K.Konno: "Algebraic surfaces of general type with c_1^23p_g-6"
[Publications] Y.Kawamata: "Moderate degenerations of algebraic surfaces" UTYO-MATH 89-20. 20. 1-41 (1989)
[Publications] K.Konno: "Generic Torelli theorem for hypersurfaces of certain compact homogeneous Kahler manifolds" Duke Math.J.59. 83-160 (1989)
[Publications] K.Konno: "Infinitesimal Torelli theorem for complete intersections in certain homogeneous Kahler manifolds II" Tohoku Math.J.
[Publications] K.Konno: "Algebraic surfaces of general type with c_1^2=3p_g-7"
[Publications] K.Konno: "Examples of degenerations of Castelnuovo surfaces"
[Publications] K.Konno: "On the variational Torelli problem for complete intersections"
[Publications] K.Konno: "Infinitesimal Torelli theorem for regular surfaces with genus two fibrations"
[Publications] K.Konno: "Some examples of obstructed surfaces with ample canonical bundle"
[Publications] U.Shimizu: "New bosonization and conformal field theory over Z" Commun.Math.Phys.121. 603-627 (1989)
[Publications] U.Shimizu: "Formal groups and conformal field theory over Z“Inregrable Systems in Quantum Field Theory and Statistical Mechanics"" Adv.Stud.Pure Math.19. 347-366 (1989)
[Publications] T.Ashikaga: "On the geography of surfaces with birational canonical morphisms"
[Publications] Y.Kawamata: "Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces" Ann.of Math.127. 93-163 (1988)
[Publications] 川又雄二郎: "高次元代数多様体の分類理論ー極小モデルの理論へー" 数学. 40. 1-18 (1988)
[Publications] Y.Kawamata: "Small contractions of four dimensional algebraic manifolds" UTYO-MATH.88ー23. (1988)
[Publications] Y.Kawamata: "Boundedness of Q-Fano threefolds" UTYO-MATH.89ー6. (1989)
[Publications] N.Nakayama: "The Singularity of the canonical Model of Compact Kahler Manifolds" Math.Ann.280. 509-512 (1988)
[Publications] N.Nakayama: "On Weierstrass Models" Algebraic Geometry and Commutative Algebra in honor of M.Nagata. 405-431 (1988)
[Publications] N.Nakayama: "The family of lines on the Fano threefolds V_5" (1988)
[Publications] N.Nakayama: "On Smooth Exceptional curves in threefolds" (1988)
[Publications] I.Shimada: "On the Cylinder Homomorphisms of Fano Complete Intersections" UTYO-MATH.89ー3. (1989)
[Publications] I.Shimada: "On the cylinder isogeny associated to the family of lines on a hypersurface" UTYO-MATH.89ー10. (1989)
[Publications] I.Shimada: "On Cylinder Homomorphisms" UTYO-MATH.89ー18. (1989)
[Publications] K.Ogiso: "On Jacobian Fibrations of K_m(ExF)whose Picard number is 18" UTYO-MATH.(J.Math,Soc.Japan accepted). 88ー24. (1989)
[Publications] K.Ogiso: "A note on Z/PZ-actions on K3 surfaces in odd characteristic,p" UTYO-MATH.89ー4.
[Publications] M.Oka: "On the deformation of a certain type of algebraic surfaces" Contemporary Mathematics. 78. 598-603 (1988)
[Publications] M.Oka: "On a weak simultaneous resolution of a negligible truncation of the Newton boundary" Contemporary Math.90. 199-210 (1989)
[Publications] M.Oka: "On the stratification of good hypersurfaces" Kodai Math.J.11. 441-449 (1988)
[Publications] M.Oka: "Canonical stratification of complete intersection varieties"
[Publications] M.Oka: "On the stratification of the discriminant varieties" Kodai Math.J.12. 210-227 (1989)
[Publications] M.Oka: "Principal zeta-function of non-degenerate complete intersection variety" J.Fac.Sci.Univ.of Tokyo.
[Publications] T.Fujita: "Ample vector bundles of small c_1-sectional genera" J.Math.Kyoto Univ.29. 1-16 (1989)
[Publications] T.Fujita: "Polarized manifolds of degree three and Δ-genus two" J.Mate.Soc.Japan. 41. 311-331 (1989)
[Publications] T.Fujita: "Remarks on quasi-polarized varieties" Nagoya Math.J.115. 105-123 (1989)
[Publications] K.Watanabe: "Riemann-Roch Theorem for normal isolated singularities" Math.Ann.
[Publications] K.Watanabe: "Distribution formula of terminal singularities of a minimal resolution for simple K3 singularities"
[Publications] M.Tomari: "Filtered rings,filtered blowing-ups and normal two-dimensional singularities with“star-shaped"resolution" Publ.RIMS Kyoto Univ.25ー5. (1989)
[Publications] M.Tomari: "On singularities arising from the contraction of the minimal section of a ruled surface" Manuscripta Mathematica. 65. 329-347 (1989)
[Publications] M.Tomari: "On L^2ーplurigenera of not-log-canonical Gorenstein isolated singularities" Proc.of Amer.Math.Soc.
[Publications] M.Ebihara: "Pseudo-conic bundle filtrations and uniruled varieties" UTYO-MATH. (1987)
[Publications] M.Ebihara: "On neighbourhoods of P^1 in three-dimensional complex manifolds"
[Publications] K.Watanabe: "Study of F-purity in Dimension Two." Algebraic Geometry and Commutative Algebra in Honor of M.Nagata. 1987. (791-800)
[Publications] K.Watanabe: "A Characterization of F-regularity in terms of F-purity" Commutative Algebra. 227-245 (1987)
[Publications] K.Watanabe: "Regular Z-fraded rings" Proc.Fac.Science,Tokai Univ.25. (1990)
[Publications] S.Kondo: "On the Albanese variety of the modnli space of polarized K3 surfaces" Invent.math.91. 587-593 (1988)
[Publications] S.Kondo: "Algebraic K3 surfaces with finite automorphism groups" Nagoya Math.J.116. 1-15 (1989)
[Publications] T.Ando: "The Normal Bundles of Singular Fibres of Conic Bundles" J.of the College of Arts and Sci.Chiba Univ.Bー21. 5-8 (1988)
[Publications] T.Ando: "Some remarks on Hilbert schemes of(-3,1)-curves in algebraic 3-folds" J.of the College of Arts and Sci.Chiba Univ.Bー22. (1989)
[Publications] S.Mukai: "Finite groups of automorphisms of K3 surfaces and the Mathieu group" Invent.Math.94. 183-221 (1988)
[Publications] S.Mukai: "Biregular classification of Fano 3-folds and Fano manifolds of coindex 3" Proc.Nat.Acad.Sci.USA. 86. 3000-3002 (1989)
[Publications] S.Mukai: "Moduli of vector bundles on K3 surfaces,and symplectic manifolds" Sugaku Exposition. 1. (1988)
[Publications] Y.Fujimoto: "logarithmic transformations on elliptic fiber spaces" J.Math.Kyoto Univ.28ー1. 91-110 (1988)
[Publications] Y.Fujimoto: "Pluricanonical of elliptic fiber spaces" J.Math.kyoto Univ.28ー4. 661-694 (1988)
[Publications] Y.Fujimoto: "A remark on the decompositions of abelian fiber spaces over curves" Publ RIMS,Kyoto Univ.25ー3. 347-354 (1989)
[Publications] Y.Fujimoto: "On rational elliptic surfaces with multiple fibers" Publ RIMS,Kyoto Univ.26ー1.
[Publications] K.Saito: "Moduli Space for Fuchsian groups,Algebraic Analysis" Academi Press.2. (1988)
[Publications] K.Saito: "Extended affine Root Systems II(Flat invariants)" Preprint RIMS-633. (1988)
[Publications] K.Saito: "Family of line bundles over elliptic curves" Preprint RIMS-626. (1988)
[Publications] K.Saito: "Higher Eichler integrals and Vector bundles over the Moduli of spinned Riemann surfaces" (1989)
[Publications] K.Saito: "The limit element in the Configaration Algebra for a discrete group" (1989)
[Publications] J.Moriwaki: "Semi-ampleness of the Numerically Effective part of Zariski decomposition II" Algebraic Geometry and Commutative Algebra in Honnor of M.Nagata. 1. 289-311 (1988)
[Publications] J.Moriwaki: "Cohomological critevion of Numerically effectivity in preparation"
[Publications] Van der Geer: "On rank-1 degeneration of abelian varieties" Springer Lecture notes. 1389. (1989)
[Publications] Vah der Geer: "Sur les fonctions theta d'ordre deux et les singularites du diviseur theta" Comptes Rendus de L'Academie des Sciences. 307. 481-484 (1988)
[Publications] Van der Geer: "Artin Schreien curves and codes" Univ.of Amsterdam. (1989)
[Publications] Van der Geer: "Weight formulas for ternary Melas Codes" (1989)
[Publications] Van der Geer: "On the number of parameters of Jacobian with non-trivialend endomovphisms" (1989)
[Publications] Van der Geer: "Introduction to coding theory and algebraic geometry" Birkhuser Verlag. (1988)
[Publications] DE-QI,ZHANG: "Logarithmic del Pezzo surfaces of rand one with contractible boundaries" Osaka Journal Mathematics. 25. 461-497 (1988)
[Publications] DE-QI,ZHANG: "Gorenstein log del Pezzo surfaces of rank one" Journal of Algebra. 118. 63-84 (1988)
[Publications] DE-QI,ZHANG: "Logarithmic del Pezzo surfaces with rational double and triple singular points" Tohoku Mathematical Journal. 41. 399-452 (1988)
[Publications] DE-QI,ZHANG: "Logarithmic Enriques surfaces,submitted" (1989)
[Publications] DE-QI,ZHANG: "Noether's inequality for non-complete algebraic surfaces" (1989)
[Publications] Y.Takeda: "Artin-Schreier coverings of algebraic surface" J.of Math.Soc.of Japan. 41. 415-435 (1989)
[Publications] Y.Takeda: "Quotients of abelian and hyperelliptic surfaces by rational vector fields" Journal of Algebra. 124. 472-492 (1989)
[Publications] Y.Takeda: "Etale Galois coverings of degree p of the affine plane" Journal of Algebra.
[Publications] H.Sumihiro: "A Construction Method of Algebraic Vector Bundles" Algebraic Geometry Seminor. 103-113 (1988)
[Publications] H.Sumihiro: "Elementary Transformations of Algebraic Vector Bundles II" Algebraic Geometry and Commutative Algebra. 713-748 (1988)
[Publications] T.Ogoma: "A note on the syzygy problem" Communications in Algebra. 17(8). 2061-2066 (1989)
[Publications] H.Tokunaga: "On algebraic surfaces and threefolds whose cotangent bundles are generated by global sections" Journal of Math.Kyoto Univ.29. 27-43 (1989)
[Publications] H.Tokunaga: "On a cyclic covering of a projective monifold" J.of Math.Kyoto Univ.30ー1. (1990)
[Publications] H.Tokunaga: "Triple coverings of algebraic surfaces according the Cardano formula" J.of Math.Kyoto Univ.
[Publications] H.Tokunaga: "On the topological Euler number of a projective threefold of general type" Mem.Fac.Sci.Kochi Univ.11. (1990)
[Publications] M.Furushima: "Normal affine surfaced properly dominated by 〓×〓〓" Math.Ann.285. 353-368 (1989)
[Publications] M.Furushima: "A new construction of a compactification of 〓^3" Tohoku Math.J.41. 543-560 (1989)
[Publications] M.Furushima: "The family of lines on the Fano 3-fold V_5" Nagoya Math.J.116. 1-12 (1989)
[Publications] M.Furushima: "Compactifications of 〓^3" Proc.Japan Acad.64. 25-26 (1988)

1989 Fiscal Year Annual Research Report

代数幾何学とHodge理論

Principal Investigator

臼井 三平 高知大学, 理学部, 助教授 (90117002)

Research Products

[Publications] S.Usui: "Type I degeneration of Kunev surfaces" Asterisque.

[Publications] S.Usui: "Type I degeneration of Kunev surfaces,II" Mem.Fac.Sci.Kochi Univ.(Math.). 11. 45-64 (1990)

[Publications] S.Usui: "Mixed Torelli problem for Todorov surfaces"

[Publications] M.-H.Saito: "On the Torelli problem for fiber spaces"

[Publications] K.Konno: "Algebraic surfaces of general type with c_1^23p_g-6"

[Publications] Y.Kawamata: "Moderate degenerations of algebraic surfaces" UTYO-MATH 89-20. 20. 1-41 (1989)

[Publications] K.Konno: "Generic Torelli theorem for hypersurfaces of certain compact homogeneous Kahler manifolds" Duke Math.J.59. 83-160 (1989)

[Publications] K.Konno: "Infinitesimal Torelli theorem for complete intersections in certain homogeneous Kahler manifolds II" Tohoku Math.J.

[Publications] K.Konno: "Algebraic surfaces of general type with c_1^2=3p_g-7"

[Publications] K.Konno: "Examples of degenerations of Castelnuovo surfaces"

[Publications] K.Konno: "On the variational Torelli problem for complete intersections"

[Publications] K.Konno: "Infinitesimal Torelli theorem for regular surfaces with genus two fibrations"

[Publications] K.Konno: "Some examples of obstructed surfaces with ample canonical bundle"

[Publications] U.Shimizu: "New bosonization and conformal field theory over Z" Commun.Math.Phys.121. 603-627 (1989)

[Publications] U.Shimizu: "Formal groups and conformal field theory over Z“Inregrable Systems in Quantum Field Theory and Statistical Mechanics"" Adv.Stud.Pure Math.19. 347-366 (1989)

[Publications] T.Ashikaga: "On the geography of surfaces with birational canonical morphisms"

[Publications] Y.Kawamata: "Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces" Ann.of Math.127. 93-163 (1988)

[Publications] 川又雄二郎: "高次元代数多様体の分類理論ー極小モデルの理論へー" 数学. 40. 1-18 (1988)

[Publications] Y.Kawamata: "Small contractions of four dimensional algebraic manifolds" UTYO-MATH.88ー23. (1988)

[Publications] Y.Kawamata: "Boundedness of Q-Fano threefolds" UTYO-MATH.89ー6. (1989)

[Publications] N.Nakayama: "The Singularity of the canonical Model of Compact Kahler Manifolds" Math.Ann.280. 509-512 (1988)

[Publications] N.Nakayama: "On Weierstrass Models" Algebraic Geometry and Commutative Algebra in honor of M.Nagata. 405-431 (1988)

[Publications] N.Nakayama: "The family of lines on the Fano threefolds V_5" (1988)

[Publications] N.Nakayama: "On Smooth Exceptional curves in threefolds" (1988)

[Publications] I.Shimada: "On the Cylinder Homomorphisms of Fano Complete Intersections" UTYO-MATH.89ー3. (1989)

[Publications] I.Shimada: "On the cylinder isogeny associated to the family of lines on a hypersurface" UTYO-MATH.89ー10. (1989)

[Publications] I.Shimada: "On Cylinder Homomorphisms" UTYO-MATH.89ー18. (1989)

[Publications] K.Ogiso: "On Jacobian Fibrations of K_m(ExF)whose Picard number is 18" UTYO-MATH.(J.Math,Soc.Japan accepted). 88ー24. (1989)

[Publications] K.Ogiso: "A note on Z/PZ-actions on K3 surfaces in odd characteristic,p" UTYO-MATH.89ー4.

[Publications] M.Oka: "On the deformation of a certain type of algebraic surfaces" Contemporary Mathematics. 78. 598-603 (1988)

[Publications] M.Oka: "On a weak simultaneous resolution of a negligible truncation of the Newton boundary" Contemporary Math.90. 199-210 (1989)

[Publications] M.Oka: "On the stratification of good hypersurfaces" Kodai Math.J.11. 441-449 (1988)

[Publications] M.Oka: "Canonical stratification of complete intersection varieties"

[Publications] M.Oka: "On the stratification of the discriminant varieties" Kodai Math.J.12. 210-227 (1989)

[Publications] M.Oka: "Principal zeta-function of non-degenerate complete intersection variety" J.Fac.Sci.Univ.of Tokyo.

[Publications] T.Fujita: "Ample vector bundles of small c_1-sectional genera" J.Math.Kyoto Univ.29. 1-16 (1989)

[Publications] T.Fujita: "Polarized manifolds of degree three and Δ-genus two" J.Mate.Soc.Japan. 41. 311-331 (1989)

[Publications] T.Fujita: "Remarks on quasi-polarized varieties" Nagoya Math.J.115. 105-123 (1989)

[Publications] K.Watanabe: "Riemann-Roch Theorem for normal isolated singularities" Math.Ann.

[Publications] K.Watanabe: "Distribution formula of terminal singularities of a minimal resolution for simple K3 singularities"

[Publications] M.Tomari: "Filtered rings,filtered blowing-ups and normal two-dimensional singularities with“star-shaped"resolution" Publ.RIMS Kyoto Univ.25ー5. (1989)

[Publications] M.Tomari: "On singularities arising from the contraction of the minimal section of a ruled surface" Manuscripta Mathematica. 65. 329-347 (1989)

[Publications] M.Tomari: "On L^2ーplurigenera of not-log-canonical Gorenstein isolated singularities" Proc.of Amer.Math.Soc.

[Publications] M.Ebihara: "Pseudo-conic bundle filtrations and uniruled varieties" UTYO-MATH. (1987)

[Publications] M.Ebihara: "On neighbourhoods of P^1 in three-dimensional complex manifolds"

[Publications] K.Watanabe: "Study of F-purity in Dimension Two." Algebraic Geometry and Commutative Algebra in Honor of M.Nagata. 1987. (791-800)

[Publications] K.Watanabe: "A Characterization of F-regularity in terms of F-purity" Commutative Algebra. 227-245 (1987)

[Publications] K.Watanabe: "Regular Z-fraded rings" Proc.Fac.Science,Tokai Univ.25. (1990)

[Publications] S.Kondo: "On the Albanese variety of the modnli space of polarized K3 surfaces" Invent.math.91. 587-593 (1988)

[Publications] S.Kondo: "Algebraic K3 surfaces with finite automorphism groups" Nagoya Math.J.116. 1-15 (1989)

[Publications] T.Ando: "The Normal Bundles of Singular Fibres of Conic Bundles" J.of the College of Arts and Sci.Chiba Univ.Bー21. 5-8 (1988)

[Publications] T.Ando: "Some remarks on Hilbert schemes of(-3,1)-curves in algebraic 3-folds" J.of the College of Arts and Sci.Chiba Univ.Bー22. (1989)

[Publications] S.Mukai: "Finite groups of automorphisms of K3 surfaces and the Mathieu group" Invent.Math.94. 183-221 (1988)

[Publications] S.Mukai: "Biregular classification of Fano 3-folds and Fano manifolds of coindex 3" Proc.Nat.Acad.Sci.USA. 86. 3000-3002 (1989)

[Publications] S.Mukai: "Moduli of vector bundles on K3 surfaces,and symplectic manifolds" Sugaku Exposition. 1. (1988)

[Publications] Y.Fujimoto: "logarithmic transformations on elliptic fiber spaces" J.Math.Kyoto Univ.28ー1. 91-110 (1988)

[Publications] Y.Fujimoto: "Pluricanonical of elliptic fiber spaces" J.Math.kyoto Univ.28ー4. 661-694 (1988)

[Publications] Y.Fujimoto: "A remark on the decompositions of abelian fiber spaces over curves" Publ RIMS,Kyoto Univ.25ー3. 347-354 (1989)

[Publications] Y.Fujimoto: "On rational elliptic surfaces with multiple fibers" Publ RIMS,Kyoto Univ.26ー1.

[Publications] K.Saito: "Moduli Space for Fuchsian groups,Algebraic Analysis" Academi Press.2. (1988)

[Publications] K.Saito: "Extended affine Root Systems II(Flat invariants)" Preprint RIMS-633. (1988)

[Publications] K.Saito: "Family of line bundles over elliptic curves" Preprint RIMS-626. (1988)

[Publications] K.Saito: "Higher Eichler integrals and Vector bundles over the Moduli of spinned Riemann surfaces" (1989)

[Publications] K.Saito: "The limit element in the Configaration Algebra for a discrete group" (1989)

[Publications] J.Moriwaki: "Semi-ampleness of the Numerically Effective part of Zariski decomposition II" Algebraic Geometry and Commutative Algebra in Honnor of M.Nagata. 1. 289-311 (1988)

[Publications] J.Moriwaki: "Cohomological critevion of Numerically effectivity in preparation"

[Publications] Van der Geer: "On rank-1 degeneration of abelian varieties" Springer Lecture notes. 1389. (1989)

[Publications] Vah der Geer: "Sur les fonctions theta d'ordre deux et les singularites du diviseur theta" Comptes Rendus de L'Academie des Sciences. 307. 481-484 (1988)

[Publications] Van der Geer: "Artin Schreien curves and codes" Univ.of Amsterdam. (1989)

[Publications] Van der Geer: "Weight formulas for ternary Melas Codes" (1989)

[Publications] Van der Geer: "On the number of parameters of Jacobian with non-trivialend endomovphisms" (1989)

[Publications] Van der Geer: "Introduction to coding theory and algebraic geometry" Birkhuser Verlag. (1988)

[Publications] DE-QI,ZHANG: "Logarithmic del Pezzo surfaces of rand one with contractible boundaries" Osaka Journal Mathematics. 25. 461-497 (1988)

[Publications] DE-QI,ZHANG: "Gorenstein log del Pezzo surfaces of rank one" Journal of Algebra. 118. 63-84 (1988)

[Publications] DE-QI,ZHANG: "Logarithmic del Pezzo surfaces with rational double and triple singular points" Tohoku Mathematical Journal. 41. 399-452 (1988)

臼井三平高知大学, 理学部, 助教授 (90117002)