SYMBOLIC POWERS OF DERKSEN IDEALS

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2023Embargo end date: 01 Jan 2021Publisher:Rocky Mountain Mathematics ConsortiumJournal:Journal of Commutative Algebra, volume 15 (issn: 1939-2346,

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Authors: Sandoval-Gómez, Sandra;

doi: 10.1216/jca.2023.15.275 , 10.48550/arxiv.2104.04428

arXiv: 2104.04428

SYMBOLIC POWERS OF DERKSEN IDEALS

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Abstract

Given that symbolic and ordinary powers of an ideal do not always coincide, we look for conditions on the ideal such that equality holds for every natural number. This paper focuses on studying the equality for Derksen ideals defined by finite groups acting linearly on a polynomial ring.

12 pages

Keywords

Derksen ideals, symbolic powers, invariant rings, FOS: Mathematics, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 13A50, 13F20, Actions of groups on commutative rings; invariant theory

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