Invariants of the symbolic powers of edge ideals

DOI10.1142/S0219498820501844zbMath1451.13043arXiv1904.07717OpenAlexW2972970681WikidataQ114614566 ScholiaQ114614566MaRDI QIDQ5133833

Bidwan Chakraborty, Mousumi Mandal

Publication date: 11 November 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.07717

zbMATH Keywords

regularityresurgencesymbolic powersedge idealsWaldschmidt constantsymbolic defect

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Combinatorial aspects of commutative algebra (05E40)

Related Items (3)

Symbolic defects of edge ideals of unicyclic graphs ⋮ Regularity of powers of squarefree monomial ideals ⋮ Symbolic powers in weighted oriented graphs

Cites Work

• On the ideal theory of graphs
• The symbolic defect of an ideal
• Asymptotic resurgences for ideals of positive dimensional subschemes of projective space
• The Waldschmidt constant for squarefree monomial ideals
• Combinatorics of symbolic Rees algebras of edge ideals of clutters
• Comparing powers and symbolic powers of ideals
• Monomial ideals whose powers have a linear resolution
• Implosive graphs: Square-free monomials on symbolic Rees algebras
• Associated primes of powers of edge ideals and ear decompositions of graphs
• A Beginner’s Guide to Edge and Cover Ideals
• On Indecomposable Graphs

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