Monomial ideals, almost complete intersections and the Weak Lefschetz Property

Details Monomial ideals, almost complete intersections and the Weak Lefschetz Property Monomial ideals, almost complete intersections and the Weak Lefschetz Property

2008-11-06

arxiv.org/abs/0811.1023v2

Mathematics

Commutative Algebra

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Scientific paper

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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