Beitr Algebra Geom https://doi.org/10.1007/s13366-018-0396-4 ORIGINAL PAPER Annihilators of local cohomology modules and simplicity of rings of differential operators 1 2 Alberto F. Boix · Majid Eghbali Received: 31 July 2017 / Accepted: 12 April 2018 © The Managing Editors 2018, Corrected Publication May 2018 Abstract One classical topic in the study of local cohomology is whether the non- vanishing of a speciﬁc local cohomology module is equivalent to the vanishing of its annihilator; this has been studied by several authors, including Huneke, Koh, Lyubeznik and Lynch. Motivated by questions raised by Lynch and Zhang, the goal of this paper is to provide some new results about this topic, which provide some partial positive answers to these questions. The main technical tool we exploit is the structure of local cohomology as module over rings of differential operators. Keywords Annihilators · Local cohomology Mathematics Subject Classiﬁcation Primary 13D45; Secondary 13A35 · 13N10 The original version of this article was revised: The author would like to correct the errors in Proposition 3.3, Theorem 3.6, Theorem 4.1, Theorem 4.4, Lemma 4.5 and Lemma 4.6 in the publication of the original article. A. F. Boix is partially supported by Spanish Ministerio de Economía y
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry – Springer Journals
Published: Apr 23, 2018
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