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Monomial ideals, almost complete intersections and the Weak Lefschetz Property

Authors
  • Migliore, Juan C.
  • Miro-Roig, Rosa M.
  • Nagel, Uwe
Type
Preprint
Publication Date
Jan 27, 2009
Submission Date
Nov 06, 2008
Source
arXiv
License
Yellow
External links

Abstract

Many algebras are expected to have the Weak Lefschetz property though 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.

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