A Gröbner basis for the secant ideal of the second hypersimplex

DOI10.1216/JCA-2009-1-2-327zbMath1184.13081arXiv0804.2897OpenAlexW2963985952MaRDI QIDQ847960

Seth Sullivant

Publication date: 19 February 2010

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

Full work available at URL: https://arxiv.org/abs/0804.2897

Mathematics Subject Classification ID

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)

Related Items

Equivariant Gröbner bases and the Gaussian two-factor model ⋮ Finiteness of small factor analysis models

Cites Work

• Unnamed Item
• Combinatorial secant varieties
• Algebraic factor analysis: tetrads, pentads and beyond
• On the projective geometry of rational homogeneous varieties
• On the ideals of secant varieties of Segre varieties
• Ranks of tensors, secant varieties of Segre varieties and fat points
• Gröbner bases and triangulations of the second hypersimplex
• On the ideal of an embedded join.
• Combinatorial symbolic powers
• Prolongations and Computational Algebra