Study on affine algebraic varieties and extension of the base field
| Project/Area Number |
20540040
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | University of Toyama |
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Principal Investigator |
ASANUMA Teruo University of Toyama, 大学院・理工学研究部(理学), 教授 (50115127)
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| Co-Investigator(Renkei-kenkyūsha) |
ONODA Nobuharu 福井大学, 工学部, 教授 (40169347)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | 開代数幾何学 / ヤコビアン予想 / 可換環 / 多項式環 |
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| Research Abstract |
The Jacobian conjecture asserts that a polynomial map of the ndimensional affine space over the complex number field defined by n polynomials in n variables with the Jacobian nonzero constant must be an isomorphism. The conjecture is still open for any n>1. We study the conjecture from the algebraic and topological point of view and give several conditions equivalent to the conjecture.
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Report
(4 results)
Research Products
(19 results)
