Groebner bases and regularity of Rees algebras

2001/01/15 by Juergen Herzog, Dorin Popescu, Herzog, Juergen +4
Computer Science · Mathematics · #13C99 #13D45 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #msc:13C99 #msc:13D45

paper · pdf · doi:10.48550/arxiv.math/0101122

21 pages

arxiv created 2001/01/15 · openalex publication_date 2001/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study homological properties of the Rees ring R of the graded maximal ideal of a standard graded k-algebra A. In particular we are interested the comparison of the depth and regularity of A and R.

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