Monomial ideals, almost complete intersections and the weak lefschetz property

Juan C. Migliore, Rosa M. MirÓ-Roig, Uwe Nagel

Research output: Contribution to journalArticlepeer-review

61 Scopus citations

Abstract

Many algebras are expected to have the Weak Lefschetz property, although this is often very difficult to establish. We illustrate the subtlety of the problem by studying monomial and some closely related ideals. Our results exemplify the intriguing dependence of the property on the characteristic of the ground field and on arithmetic properties of the exponent vectors of the monomials.

Original languageEnglish
Pages (from-to)229-257
Number of pages29
JournalTransactions of the American Mathematical Society
Volume363
Issue number1
DOIs
StatePublished - Jan 2011

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics

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