A-graded methods for monomial ideals
Commutative Algebra
2009-03-05 v2 Algebraic Geometry
Combinatorics
Abstract
We use \ZZ^d-gradings to study d-dimensional monomial ideals. The Koszul functor is employed to interpret the quasidegrees of local cohomology in terms of the geometry of distractions and to explicitly compute the multiplicities of exponents. These multigraded techniques originate from the study of hypergeometric systems of differential equations.
Cite
@article{arxiv.0807.4306,
title = {A-graded methods for monomial ideals},
author = {Christine Berkesch and Laura Felicia Matusevich},
journal= {arXiv preprint arXiv:0807.4306},
year = {2009}
}
Comments
Reorganized version with new introduction, Section 2 simplified, corrections made to Section 4