Primary components of codimension two lattice basis ideals

DOI10.1007/s00026-017-0355-zzbMath1387.13048arXiv1403.0679OpenAlexW2963196660MaRDI QIDQ1684291

Zekiye Sahin Eser, Laura Felicia Matusevich

Publication date: 8 December 2017

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0679

zbMATH Keywords

hypergeometric functionsprimary decompositionlattice basis idealslattice point graphs

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other hypergeometric functions and integrals in several variables (33C70) Semigroup rings, multiplicative semigroups of rings (20M25) Arithmetic rings and other special commutative rings (13F99)

Uses Software

• CoCoA
• Macaulay2
• SINGULAR
• Binomials.m2

Cites Work

• Binomial \(D\)-modules
• Primary decomposition of lattice basis ideals
• The complexity of the word problems for commutative semigroups and polynomial ideals
• Binomial ideals
• Combinatorics of binomial primary decomposition
• Torus equivariant \(D\)-modules and hypergeometric systems
• Bivariate hypergeometric \(D\)-modules
• Decompositions of binomial ideals
• Unnamed Item