Algebraic \(h\)-vectors of simplicial complexes through local cohomology. I

DOI10.1016/j.aam.2022.102476OpenAlexW2964802046MaRDI QIDQ2687273

Connor Sawaske

Publication date: 1 March 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12620

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Local cohomology and commutative rings (13D45) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

• Unnamed Item
• Face rings of simplicial complexes with singularities
• The canonical module of a Stanley-Reisner ring
• Generalized Dehn-Sommerville equations and an upper bound theorem
• Intersection homology theory
• On the number of faces of simplicial complexes and the purity of Frobenius
• Quotient algebras of Stanley-Reisner rings and local cohomology
• Skeletal rigidity of simplicial complexes. I
• Combinatorics and commutative algebra.
• A duality in Buchsbaum rings and triangulated manifolds
• Face numbers and nongeneric initial ideals
• Face numbers of pseudomanifolds with isolated singularities
• Face Numbers of Manifolds with Boundary

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