Minimal balanced neighborly polynomials

DOI10.1007/s40306-024-00547-3MaRDI QIDQ6650708

Nguyen Thi Thanh Tam, Satoshi Murai

Publication date: 9 December 2024

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

zbMATH Keywords

Macaulay's inverse systembalanced neighborly polynomialsbalanced neighborly simplicial spheres

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

• Combinatorics and commutative algebra.
• Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
• Ear decomposition and balanced neighborly simplicial manifolds
• Simplicial moves on balanced complexes
• LOWER BOUND THEOREMS AND A GENERALIZED LOWER BOUND CONJECTURE FOR BALANCED SIMPLICIAL COMPLEXES
• Balanced Cohen-Macaulay Complexes
• The existence of balanced neighborly polynomials
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