Survey on Regularity of Symbolic Powers of an Edge Ideal

Nguyen Cong Minh () and Thanh Vu ()
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Nguyen Cong Minh: Hanoi National University of Education, Department of Mathematics
Thanh Vu: Hanoi National University of Education, Department of Mathematics

A chapter in Commutative Algebra, 2021, pp 569-588 from Springer

Abstract: Abstract Let G be a simple graph and I its edge ideal. We survey recent results on the problem of computing the regularity of symbolic powers of I and its relation to the regularity of ordinary powers. We prove a rigidity property of the regularity for intermediate ideals lying between ordinary powers and symbolic powers for small powers. We then propose some related problems and provide illustrating examples.

Keywords: Symbolic powers; Ordinary powers; Edge ideals; Regularity; 13D02; 13D05; 13H99 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-89694-2_18

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DOI: 10.1007/978-3-030-89694-2_18

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