FIRST SYZYGIES OF TORIC VARIETIES AND DIOPHANTINE EQUATIONS IN CONGRUENCE

DOI10.1081/AGB-100002111zbMath1082.13510MaRDI QIDQ2752378

Alberto Vigneron-Tenorio, Pilar Pisón-Casares

Publication date: 27 February 2002

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

zbMATH Keywords

algorithmtoric varietiesinteger programmingDiophantine equationsnumerical semigroup ringfirst syzygies

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Ordinary and skew polynomial rings and semigroup rings (16S36) Computer solution of Diophantine equations (11Y50) Computational aspects and applications of commutative rings (13P99) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (4)

The short resolution of a lattice ideal ⋮ Minimal resolutions of lattice ideals and integer linear programming ⋮ On the generalized Scarf complex of lattice ideals ⋮ On Lawrence semigroups

Uses Software

• GRIN

Cites Work

• Unnamed Item
• On the complexity of computing syzygies
• Semigroup ideals and linear Diophantine equations
• Syzygies of codimension 2 lattice ideals
• An efficient incremental algorithm for solving systems of linear diophantine equations
• Semigroup rings and simplicial complexes
• Minimal systems of generators for ideals of semigroups
• Gröbner bases of toric varieties
• Free resolutions and Koszul homology
• Syzygies of affine toric varieties
• Higher order relations for a numerical semigroup
• An Algorithm to Calculate the Kernel of Certain Polynomial Ring Homomorphisms

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