2010 Fiscal Year Final Research Report
Study on affine algebraic varieties and extension of the base field
| Project/Area Number |
20540040
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | University of Toyama |
|---|
Principal Investigator |
ASANUMA Teruo University of Toyama, 大学院・理工学研究部(理学), 教授 (50115127)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
ONODA Nobuharu 福井大学, 工学部, 教授 (40169347)
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Keywords | 開代数幾何学 / ヤコビアン予想 |
|---|
| 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.
|
Research Products
(10 results)
