2010 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 首都大学東京, 理工学研究科, 助教 (40301410)
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| Keywords | 正準元予想 / 改良新交差予想 / シジジー予想 / 単項式予想 |
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| Research Abstract |
先行する研究の点検・解析を行い,そのいくつかに別証を与えた
点検した先行研究の主なみのを挙げる
・S.P.Dutta, Syzygies and homological conjectures, in Commutative Algebra, Mathematical Sciences Research Insttute Publications 15 (Springer, New York, 1989).Math.Soc.(2) 56(1997)
・S.P.Dutta, A note on the monomial conjecture, Trans.Amer.Math.Soc.350(1998)
・S.P.Dutta, Splitting of local cohomology of syzygies of the residue field, J.Algebra 244 (2001)
・S.P.Dutta and P.Griffith, Intersection multiplicities, the canonical element conjecture, and the syzygy problem, Michigan Math.J.57 (2008)
・J.Mccullough, A note on the strong direct summand conjecture,Proc.Amer.Math.Soc.137 (2009)
・J.R.Strooker and J.Stuckrad, Monomial conjecture and complete intersections, manuscripta math.79(1993)
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