Ideals whose associated graded rings are isomorphic to the base rings

2004/03/03 by Yukihide Takayama, Takayama, Yukihide
Mathematics · #13A30 #13D45 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A30 #msc:13D45

paper · pdf · doi:10.48550/arxiv.math/0403058

arxiv created 2004/03/03 · arxiv updated 2009/12/01

Abstract

Let k be a field. We determine the ideals I in a finitely generated graded k-algebra A, whose associated graded rings are isomorphic to A. Also we compute the graded local cohomologies of the Rees rings A[I t] and give the condition for A[I t] to be generalized Cohen-Macaulay.

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