1. Monomial ideals, almost complete intersections and the Weak lefschetz Property
- Author
-
Rosa M. Miró-Roig, Juan C. Migliore, Uwe Nagel, and Universitat de Barcelona
- Subjects
Discrete mathematics ,Monomial ,Property (philosophy) ,Mathematics::Commutative Algebra ,Applied Mathematics ,General Mathematics ,Vector algebra ,Mathematics - Commutative Algebra ,Commutative Algebra (math.AC) ,Ground field ,Mathematics - Algebraic Geometry ,Algebra ,Exponent ,FOS: Mathematics ,Geometria algebraica aritmètica ,Àlgebra ,Arithmetical algebraic geometry ,Algebraic Geometry (math.AG) ,Mathematics ,Àlgebra vectorial - 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., Comment: Slighty improved version
- Published
- 2011