A-graded methods for monomial ideals Academic Article

abstract

• We use Zd-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. 2009 Elsevier Inc. All rights reserved.

authors

• Matusevich, Laura

published proceedings

• JOURNAL OF ALGEBRA

author list (cited authors)

• Berkesch, C., & Matusevich, L. F.

citation count

• 2

complete list of authors

• Berkesch, Christine||Matusevich, Laura Felicia

publication date

• October 2009

publisher

• Elsevier  Publisher

published in

• Journal of Algebra  Journal

keywords

• D-modules
• Koszul Complexes
• Monomial Ideals
• Multigradings
• Stanley-reisner Rings

Digital Object Identifier (DOI)

• 10.1016/j.jalgebra.2009.07.007

start page

• 2886

end page

• 2904

volume

• 322

issue

• 8

URL

• http://dx.doi.org/10.1016/j.jalgebra.2009.07.007