The vertex ideal of a lattice.
From MaRDI portal
Publication:1867011
DOI10.1016/S0196-8858(02)00030-1zbMath1073.13506arXivmath/0012197OpenAlexW1972921417MaRDI QIDQ1867011
Publication date: 2 April 2003
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0012197
Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Structure theory of lattices (06B05)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Syzygies of codimension 2 lattice ideals
- SAGBI and SAGBI-Gröbner bases over principal ideal domains
- Standard pairs and group relaxations in integer programming
- Variation of cost functions in integer programming
- The associated primes of initial ideals of lattice ideals
- Bounds on degrees of projective schemes
- Gröbner bases of lattices, corner polyhedra, and integer programming
- Gröbner deformations of hypergeometric differential equations
- Lectures on Polytopes
- Generic lattice ideals
- Computing Gröbner Fans of Toric Ideals
- A Geometric Buchberger Algorithm for Integer Programming