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math.ACMar 20, 2007
1
citations (OpenAlex)
authors
  • Jurgen Herzog
  • Takayuki Hibi
  • Ngo Viet Trung
institutions
  • Institute of Mathematics
  • The University of Osaka
  • University of Duisburg-Essen
arXiv abstractPDF
paper

Vertex cover algebras of unimodular hypergraphs

arXiv:math/0703577

Abstract

It is proved that all vertex cover algebras of a hypergraph are standard graded if and only if the hypergraph is unimodular. This has interesting consequences on the symbolic powers of monomial ideals.

6 pages

References in corpus (1)

  • A note on Rees algebras and the MFMC property

Cited by in corpus (1)

  • The standard graded property for vertex cover algebras of Quasi-Trees
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