2011 Fiscal Year Final Research Report
Commutative algebraic approach to the study of affine algebraic geometry focused on fibrations
| Project/Area Number |
21540034
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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 Fukui |
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Principal Investigator |
ONODA Nobuharu 福井大学, 大学院・工学研究科, 教授 (40169347)
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| Research Collaborator |
BHATWADEKAR S. M. Bhaskaracharya Pratishthana, 教授
DUTTA A. K. Indian Statistical Institute, 教授
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| Project Period (FY) |
2009 – 2011
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| Keywords | 可換環論 / アフィン代数幾何学 |
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| Research Abstract |
Some results are obtained regarding affine fibration which is an important subject both in commutative algebra and affine algebraic geometry. In particular, for an algebra obtained by patching polynomial algebras, the structure theorem is proved and isomorphism classes are determined in the case where the base ring is a factorial domain of dimension two. Furthermore, finite generation is investigated for Noetherian subalgebras of polynomial algebras.
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