Asymptotic resurgence via integral closures

DOI10.1090/tran/7835zbMath1425.14007arXiv1808.01547OpenAlexW2886714203MaRDI QIDQ5241511

Jay Schweig, Jeffrey Mermin, Christopher A. Francisco, Michael Robert DiPasquale

Publication date: 31 October 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01547

zbMATH Keywords

resurgencesymbolic powers of idealsIntegral closures

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Valuations and their generalizations for commutative rings (13A18) Divisors, linear systems, invertible sheaves (14C20)

Related Items (16)

Resurgence numbers of fiber products of projective schemes ⋮ Convex bodies and asymptotic invariants for powers of monomial ideals ⋮ Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems ⋮ Differentially fixed ideals in affine semigroup rings ⋮ Duality for asymptotic invariants of graded families ⋮ Expected resurgence of ideals defining Gorenstein rings ⋮ A sharp bound for the resurgence of sums of ideals ⋮ A stable version of Harbourne's conjecture and the containment problem for space monomial curves ⋮ Expected resurgences and symbolic powers of ideals ⋮ A graded minimal free resolution of the $m$-th order symbolic power of a star configuration in $\P^n$ ⋮ Extreme values of the resurgence for homogeneous ideals in polynomial rings ⋮ On resurgence via asymptotic resurgence ⋮ Membership criteria and containments of powers of monomial ideals ⋮ Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals ⋮ On the resurgence and asymptotic resurgence of homogeneous ideals ⋮ A duality theorem for the ic-resurgence of edge ideals

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