2012 Fiscal Year Final Research Report
Research of local rings from number-theoretic view point
| Project/Area Number |
21540054
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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 | Kinki University |
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Principal Investigator |
IZUMI Shuzo 近畿大学, 理工学部, 研究員 (80025410)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 環論 |
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| Research Abstract |
We, M. Hickel, T. Ito and I, succeeded to prove Diophantine inequality forexcellent Henselian domains, this may be the most general kind of local ringsfor the inequality. Next, I gave an algebraic explanation and a generalisationof the singularities of embeddings of plane algebraic curves found by Bos andCalvi. Using this theory, I have obtained an estimate of transcendency index ofanalytic curves enbedded in affine spaces.
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