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1996 Fiscal Year Final Research Report Summary

Theory of Singnlanty and Complex algebrion geonety (advanced sturdy)

Research Project

Project/Area Number 07304005
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section総合
Research Field Algebra
Research InstitutionTOKYO METROPOLITAN UNIVERSITY

Principal Investigator

SASAKURA Nobuo  Graduate School of Science Professor, 理学研究科, 教授 (20087026)

Co-Investigator(Kenkyū-buntansha) TERASOMA Tomohide  Tokyo Univ.Graduate School Science, Associato Professer, 理学研究科, 助教授 (50192654)
KOHNO Toshitake  Tokyo Univ.Gradaute School Science, Associato Peofesser, 理学研究科, 教授 (80144111)
TERAO Hiroaki  Hokkaido Univ.Faculty of Science.Professor, 理学部・数学研究科, 教授 (90119058)
SUWA Tatsuo  Hokkaido Univ.Faculty of Science.Professor, 理学部・数学研究科, 教授 (40109418)
OKA Mutsuo  Graduate School of Science Professor, 理学研究科, 教授 (40011697)
Project Period (FY) 1995 – 1996
KeywordsVectorbundle / Quadratic reside graph / elliptir ruled surface / fandanetl grop / Corplex faliats / arrpent / 3-mantald / hppageonts fads
Research Abstract

First of all Nobuo Sasahuca made progresses on his proposed theoy of construction of sheaee. He initrated sone basic formla for rank tro sheares formed arithmetically. Also he found a rank a bandle or II_4, which leads to discovery of elliptic conic bundle a II_4, Since, for ten yers, this was 'disprorer', this gis a stimls for reseaches.
Oka foitnd an interstey series of fandamental groups. Sawa studied conplet falicte's in a very actre mana. Terao in also extrendy actue in his study of arragents and hypergeometris funder.
Kohno gat rterestiy results for 3-maritolds & Chen-Simon inveriats. Terasoma also get interesting farto for hppegenetrs funds.

  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] 笹倉 頌夫: "Quadratic residue graph & Shioda ellept model of S(4)" Tohjo Jourel of Math. 19・2. 262-286 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 笹倉 頌夫: "Ranh two reflexve sheoves fornol from Quadntr xesrdo graph" Internatrul Jon of Math. (to appea).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 岡 睦雄: "Geomety of Plae Ceeves via troidrl resolutr" Alg.Geonoty,Bixkhauser. (to appea). 95-118 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 寺尾 宏明: "B-bases for local systr cohomobg on comphto" Tras AMS. 349. 189-202 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 寺尾 宏明: "The determinat of a hpageontir matrs" Inven.Math. to appea.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 諏訪 文男: "A residre fornla for the indx of a hel flr" Math.Apps. 304. 621-634 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nobuo Sasha: "Quadratic reside graph & Shioda elliptin modile sufro s (4)" Tokyo Jom of Math. Vol.19.2. 262-286 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] ibid: "Ranktwo eneflexre sheas formed from quadratir reside graph" Int.Tan of Math. (to appen).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Mutsueg Oka: "Geometry of plane cures via troidcl resoht" Alg.Geom Birhken. (Peocery). 95-118 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tatsno Suwa: "A reside fornla for the index of a hol.fiken" Math.Ann. Vol.304. 621-634 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hiroaki Terao: "beta-basuo for toul syste cohomolgy" Tra.AMS. Vol345. 189-202 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] ibid.: "The determinat of a hppergeometric matrix" Inner.Math. (to appe).

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-16  

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