Graded components of local cohomology modules

Tony. J. Puthenpurakal

Graded components of local cohomology modules

Commutative Algebra 2017-02-16 v2

Authors: Tony. J. Puthenpurakal

Abstract

Let $A$ be a regular ring containing a field of characteristic zero and let $R = A[X_1,\ldots, X_m]$ . Consider $R$ as standard graded with $deg \ A = 0$ and $deg \ X_i = 1$ for all $i$ . In this paper we present a comprehensive study of graded components of local cohomology modules $H^i_I(R)$ where $I$ is an \emph{arbitrary} homogeneous ideal in $R$ . Our study seems to be the first in this regard.

Keywords

local cohomology modules graded components regular ring homogeneous ideal standard graded ring

Cite

@article{arxiv.1701.01270,
  title  = {Graded components of local cohomology modules},
  author = {Tony. J. Puthenpurakal},
  journal= {arXiv preprint arXiv:1701.01270},
  year   = {2017}
}

Comments

Typos corrected. A minor error in Theorem 1.8 corrected

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