A-graded methods for monomial ideals

Christine Berkesch; Laura Felicia Matusevich

doi:10.1016/j.jalgebra.2009.07.007

A-graded methods for monomial ideals

Christine Berkesch, Laura Felicia Matusevich

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We use Z^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.

Original language	English (US)
Pages (from-to)	2886-2904
Number of pages	19
Journal	Journal of Algebra
Volume	322
Issue number	8
DOIs	https://doi.org/10.1016/j.jalgebra.2009.07.007
State	Published - Oct 15 2009
Externally published	Yes

Keywords

D-modules
Koszul complexes
Monomial ideals
Multigradings
Stanley-Reisner rings

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10.1016/j.jalgebra.2009.07.007

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title = "A-graded methods for monomial ideals",

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.",

keywords = "D-modules, Koszul complexes, Monomial ideals, Multigradings, Stanley-Reisner rings",

author = "Christine Berkesch and Matusevich, {Laura Felicia}",

year = "2009",

month = oct,

day = "15",

doi = "10.1016/j.jalgebra.2009.07.007",

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T1 - A-graded methods for monomial ideals

AU - Berkesch, Christine

AU - Matusevich, Laura Felicia

PY - 2009/10/15

Y1 - 2009/10/15

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AB - 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.

KW - D-modules

KW - Koszul complexes

KW - Monomial ideals

KW - Multigradings

KW - Stanley-Reisner rings

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U2 - 10.1016/j.jalgebra.2009.07.007

DO - 10.1016/j.jalgebra.2009.07.007

M3 - Article

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SN - 0021-8693

VL - 322

SP - 2886

EP - 2904

JO - Journal of Algebra

JF - Journal of Algebra

IS - 8

ER -

A-graded methods for monomial ideals

Abstract

Keywords

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