Toric chordality

DOI10.1016/j.matpur.2017.05.017zbMath1505.14106arXiv1503.06640OpenAlexW4214933665MaRDI QIDQ2409930

Karim A. Adiprasito

Publication date: 16 October 2017

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06640

zbMATH Keywords

Chow cohomologygeometry of cyclesframework rigiditygraph chordalityMinkowski weights

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Paths and cycles (05C38) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Algebraic cycles (14C25) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Combinatorial aspects of simplicial complexes (05E45) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Related Items (9)

A geometric lower bound theorem ⋮ A generalized lower bound theorem for balanced manifolds ⋮ Attempting perfect hypergraphs ⋮ Average Betti numbers of induced subcomplexes in triangulations of manifolds ⋮ Non-ridge-chordal complexes whose clique complex has shellable Alexander dual ⋮ Balanced generalized lower bound inequality for simplicial polytopes ⋮ Relative Stanley-Reisner theory and upper bound theorems for Minkowski sums ⋮ FAQ on the g-theorem and the hard Lefschetz theorem for face rings ⋮ On the third squarefree Veronese subring

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