Asymptotic invariants of ideals with Noetherian symbolic Rees algebra and applications to cover ideals

DOI10.1016/j.jpaa.2019.05.008zbMath1422.13020arXiv1802.01884OpenAlexW2963102861WikidataQ127903117 ScholiaQ127903117MaRDI QIDQ2318389

Lorenzo Guerrieri, Benjamin Drabkin

Publication date: 15 August 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01884

zbMATH Keywords

monomial idealssymbolic powersWaldschmidt constantcover ideals of graphssymbolic defect

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (5)

Symbolic defects of edge ideals of unicyclic graphs ⋮ Symbolic Rees Algebras ⋮ On resurgence via asymptotic resurgence ⋮ Symbolic powers of certain cover ideals of graphs ⋮ On the resurgence and asymptotic resurgence of homogeneous ideals

Cites Work

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• A Beginner’s Guide to Edge and Cover Ideals
• Symbolic Rees algebras, vertex covers and irreducible representations of Rees cones
• Uniform bounds and symbolic powers on smooth varieties

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