A-graded methods for monomial ideals

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

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Commutative Algebra, Algebraic Geometry, Combinatorics, 13D45, 16E45 (Primary) 13F55, 13C14, 13D07 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/222031

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.4306
 http://arxiv.org/abs/0807.4306

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arXiv