A-graded methods for monomial ideals

Details A-graded methods for monomial ideals A-graded methods for monomial ideals

2008-07-28

arxiv.org/abs/0807.4306v2

Mathematics

Commutative Algebra

Reorganized version with new introduction, Section 2 simplified, corrections made to Section 4

Scientific paper

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.

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