Integral closures of monomial ideals and Fulkersonian hypergraphs

Abstract

We prove that the integral closures of the powers of a squarefree monomial ideal I equal the symbolic powers if and only if I is the edge ideal of a Fulkersonian hypergraph.

5 pages

References in corpus (2)

• A note on Rees algebras and the MFMC property
• Symbolic powers of monomial ideals and vertex cover algebras

Cited by in corpus (5)

• Membership criteria and containments of powers of monomial ideals
• Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals
• Consequences of the packing problem
• A duality theorem for the ic-resurgence of edge ideals
• Symbolic powers of multipartite hypergraphs and Waldschmidt constant