A-graded methods for monomial ideals

DOI10.1016/j.jalgebra.2009.07.007zbMath1186.13014arXiv0807.4306OpenAlexW2964168786MaRDI QIDQ1048221

Laura Felicia Matusevich, Christine Berkesch Zamaere

Publication date: 11 January 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4306

zbMATH Keywords

Koszul complexes\(D\)-modulesmonimial idealsMultigradingsStanley-Reisner ringss

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Local cohomology and commutative rings (13D45)

Related Items (2)

Polarization and depolarization of monomial ideals with application to multi-state system reliability ⋮ Torus equivariant \(D\)-modules and hypergeometric systems

Uses Software

• Macaulay2

Cites Work

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• Binomial \(D\)-modules
• Local cohomology at monomial ideals
• The inverse Gröbner basis problem in codimension two.
• Cohen-Macaulay quotients of normal semigroup rings via irreducible resolutions.
• Bounds on degrees of projective schemes
• Combinatorics and commutative algebra.
• Gröbner deformations of hypergeometric differential equations
• Connectedness of Hilbert scheme
• On the radical of a monomial ideal
• The rank of a hypergeometric system
• Integral Closures of Cohen-Macaulay Monomial Ideals
• Homological methods for hypergeometric families
• Topological Cohen-Macaulay criteria for monomial ideals

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