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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)
斉藤 恭司  京都大学, 数理科学研究科, 教授 (20012445)
野口 潤次郎  東京工業大学, 理学部, 教授 (20033920)
石井 志保子  東京工業大学, 理学部, 助教授 (60202933)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥4,100,000 (Direct Cost: ¥4,100,000)
Fiscal Year 1996: ¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1995: ¥2,300,000 (Direct Cost: ¥2,300,000)
KeywordsVectorbundle / Quadratic reside graph / elliptir ruled surface / fandanetl grop / Corplex faliats / arrpent / 3-mantald / hppageonts fads / 連接層 / conic burdle / 超平面配置 / Mochy 対応 / 消滅定理 / 層状空間 / 原始積分の理論 / Calabi-Yau多様体 / 超注理論 / 特異点の分類
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.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (23 results)

All Other

All Publications (23 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
    • Related Report
      1996 Final Research Report Summary
  • [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
    • Related Report
      1996 Final Research Report Summary
  • [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
    • Related Report
      1996 Final Research Report Summary
  • [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
    • Related Report
      1996 Final Research Report Summary
  • [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
    • Related Report
      1996 Final Research Report Summary
  • [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
    • Related Report
      1996 Final Research Report Summary
  • [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
    • Related Report
      1996 Final Research Report Summary
  • [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
    • Related Report
      1996 Final Research Report Summary
  • [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
    • Related Report
      1996 Final Research Report Summary
  • [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
    • Related Report
      1996 Final Research Report Summary
  • [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
    • Related Report
      1996 Final Research Report Summary
  • [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
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 笹倉頌夫: "Quadratic residue graph & Shioda elliplic modilan suface S(4)" Tohyo Journal of Math.19.2. 263-288 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Mutsuo Oka 岡 睦雄: "Geometry of Plane curies via Tschirnlausan reseld" Osaka J.Math. 33.4. 1003-1034 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] Mutsuo Oka 岡 睦雄: "Two transfarno of Plane curies and their fundaetl greps" Jpn Math.Sci Univ.Tokyo. 45.3. 399-443 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Hiroaki Terao 寺尾宏明: "Local systems on complements of hypirples & Ka-Kuida Conditions." Physics and Algebra. 93-102 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Hiroaki Terao 寺尾宏明: "The nurbir of oritiul Points of a product of Pons of rinear functions." Imestos Math. 1-14 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Toru Nakajima 中島 徹: "Singnlaity of the modeli space of stible brodls on suface" Compositic Math. 100. 125-130 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 笹倉頌夫: "Rank tuo reflexie sheaves with sink a peapets to HM bundle" Proceeding of Japa Acad. 69. 144-148 (1993)

    • Related Report
      1995 Annual Research Report
  • [Publications] 笹倉頌夫: "Quadratic residue graph and Shioda ellipt modul snrfae S(4)" Tokyo Joural of Mathematies. 19(出定). (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 寺杣友秀: "A produt formla for perod integral" Math.An. 298. 577-589 (1994)

    • Related Report
      1995 Annual Research Report
  • [Publications] 寺杣友秀: "Confluent hyper geometre funetis and wide xaamfit" Jour of Algebra. (掲載決定).

    • Related Report
      1995 Annual Research Report
  • [Publications] 小田忠雄: "トーリック多面体の最近の活性" 数子 46. 323-335 (1994)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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