Research of local rings from number-theoretic view point
Project/Area Number |
21540054
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | Kinki University |
Principal Investigator |
IZUMI Shuzo 近畿大学, 理工学部, 研究員 (80025410)
|
Project Period (FY) |
2009 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
Keywords | 環論 / 高階接空間 / 多様体上のテイラー展開 / 局所環のパラメーター系の超越指数 / アファイン埋め込みの超越性 / 補間法 / テイラー展開 / アルチン局所環 / 補間 / アルチン環 / Artin線形近似定理 / Diophntine不等式 / Hensel優秀環 / Taylor展開 / 零評価 |
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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Report
(5 results)
Research Products
(26 results)