Gröbner bases of contraction ideals

DOI10.1007/s10801-011-0320-6zbMath1250.13028arXiv1010.5768OpenAlexW1987953652MaRDI QIDQ438745

Takafumi Shibuta

Publication date: 31 July 2012

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

Full work available at URL: https://arxiv.org/abs/1010.5768

zbMATH Keywords

Gröbner basestoric idealsinitial idealsnested configuration

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Polynomials, factorization in commutative rings (13P05)

Related Items

Lifting Markov bases and higher codimension toric fiber products, Toric ideals of Minkowski sums of unit simplices, On Syzygies for Rings of Invariants of Abelian Groups, Connectivity of hyperplane sections of domains, Singularities and radical initial ideals, Integer decomposition property for Cayley sums of order and stable set polytopes, Markov random fields and iterated toric fibre products, Correspondence scrolls

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Toric rings and ideals of nested configurations
• Gröbner bases of nested configurations
• Initial ideals, Veronese subrings, and rates of algebras
• Algebraic algorithms for sampling from conditional distributions
• Toric fiber products
• Toric rings generated by special stable sets of monomials