Gröbner bases associated with positive roots and Catalan numbers

zbMath1094.13043MaRDI QIDQ2388299

Tomonori Kitamura

Publication date: 12 September 2005

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

combinatoricstoric idealsCatalan numbersmonomial idealsnormalized volumenumber of graphsunimodular triangulationsanti-standard treescubic squarefree monomialspositive roots of a root systemquadratic squarefree monomialssquarefree initial ideals

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Other designs, configurations (05B30) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Convex normality of rational polytopes with long edges ⋮ Existence of unimodular triangulations — positive results