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Stability of Associated Primes and Depth of Integral Closures of Powers of Edge Ideals

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arxiv 2108.01830 v1 pith:MBUUPBOI submitted 2021-08-04 math.AC math.CO

Dong Huu Mau , Tran Nam Trung This is my paper · ORCID
classification math.ACmath.CO
keywords powersassociatedclosuresdepthedgeidealsintegralprimes
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In this paper, we study associated primes and depth of integral closures of powers of edge ideals. We provide sharp bounds on how big of powers for which the set of associated primes and the depth of integral closures of powers of edge ideals are stable.

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Cited by 1 Pith paper

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  1. $\operatorname{v}$-numbers of integral closure filtrations of monomial ideals

    math.AC 2025-06 reject novelty 6.0 of 10

    For certain monomial ideals, the paper proposes explicit values and bounds for v-numbers of integral closure filtrations and shows they can be smaller than v-numbers of ordinary powers.

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