| Project/Area Number |
61302003
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| Research Category |
Grant-in-Aid for Co-operative Research (A)
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| Allocation Type | Single-year Grants |
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| Research Field |
代数学・幾何学
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| Research Institution | Kyoto University |
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Principal Investigator |
NAGATA Masayoshi Prof., Fac. Sci. Kyoto Univ., 理学部, 教授 (00025230)
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| Co-Investigator(Kenkyū-buntansha) |
上野 健爾 京都大学, 理学部, 教授 (40011655)
HIJIKATA Hiroaki Prof., Fac. Sci. Kyoto Univ., 理学部, 教授 (00025298)
MIYANISHI Masayoshi Prof., Fac. Sci. Osaka Univ., 理学部, 教授 (80025311)
MATSUMURA Hideyuki Prof., Fac. Sci. Nagoya Univ., 理学部, 教授 (80025270)
IITAKA Shigeru Prof., Fac. Sci. Gakushuin Univ., 理学部, 教授 (20011588)
SHIODA Tetsuji Prof., Fac. Sci. Rikkyo Univ.
丸山 正樹 京都大学, 理学部, 助教授 (50025459)
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| Project Period (FY) |
1986 – 1988
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| Project Status |
Completed (Fiscal Year 1988)
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| Budget Amount *help |
¥14,700,000 (Direct Cost: ¥14,700,000)
Fiscal Year 1988: ¥4,800,000 (Direct Cost: ¥4,800,000)
Fiscal Year 1987: ¥4,800,000 (Direct Cost: ¥4,800,000)
Fiscal Year 1986: ¥5,100,000 (Direct Cost: ¥5,100,000)
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| Keywords | Commutative Algebra / Ring Theory / Algebraic Geometry / Number Theory / Painleve Equation / 超弦理論 / 可換環 / 代数幾何 / 形式群 / PainleVe'方程式 |
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| Research Abstract |
Commutative algebra is a tool in several fields mathematics. Some fundamental problems in those fields are formulated in terms of commutative algebra. These problems stimulate the development of commutative algebra and they are mostly interesing from the purely algebraic viewpoint, too. It is therefore very important for the development of not only the theory of commutative algebra but also mathematics to interchange the ideas between commutative algebra and other fields; algebraic geoemtry, number theory, differential equation erc. We put our stress in this project on arranging the opportunities of interaction, mutual understanding, exchange of ideas and discussions among the specialists of several fields. To accomplish this idea we held several symposia, sent members of our project to conferences whose topics are related to our project and promoted many joint works. We could get many remakable results, for example, study of rings in connection with combinatrics, daterminantal ideals, rings of invariants, classification of algebraic varieties, hodge structures and Torelli problems, study of compactiffications of the moduli space of algebraic vector bundles, study of the algebraic geometric number theoretic aspect of super string theory and so on.
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