2009 Fiscal Year Annual Research Report
| Project/Area Number |
21540046
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| Research Institution | Tokyo Metropolitan University |
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Principal Investigator |
川崎 健 Tokyo Metropolitan University, 理工学研究科, 助教 (40301410)
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| Keywords | 整閉包 / Artin-Rees定理 / Briancon-Skoda定理 / ホモロジカル予想 |
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| Research Abstract |
本年度は先行する研究の点検と解析を行った.
点検した先行研究の主なものを挙げる.
・ S.P.Dutta, On the canonical element conjecture, Trans.Amer.Math.Soc.299 (1987).
・ S.P.Dutta, On the canonical element conjecture II, Math.Zeit.216 (1994).
・ S.P.Dutta, Dualizing complex and the canonical element conjecture, J.London Math.Soc.(2) 50 (1994).
・ M.Hochster, Big Cohen-Macaulay algebras in dimension three via Heitmann's theorem, J.Algebra 254 (2002).
・ M.Hochster, Canonical elements in local cohomology modules and the direct summand conjecture, J.Algebra 84 (1983).
・ M.Hochster, Topics in the homological theory of modules over commutative rings, CBMS Regional Conf.Ser. in Math., no 24, Amer. Math. Soc., Providence, R.I., 1975.
・ C.Huneke and J.Koh, Some dimensional 3 cases of the canonical element conjecture, Proc.Amer.Math.Soc. 98 (1986).
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