Higher resonance schemes and Koszul modules of simplicial complexes

DOI10.1007/S10801-024-01313-2zbMATH Open1547.13029MaRDI QIDQ6570587

Marian Aprodu, Alessio Sammartano, Claudiu Raicu, Gavril Farkas, Alexander I. Suciu

Publication date: 10 July 2024

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

simplicial complexHilbert seriesKoszul moduleresonance varietysquare-free monomial idealreduced scheme

Mathematics Subject Classification ID

Determinantal varieties (14M12) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes in associative algebras (16E05)

Cites Work

• Jump loci in the equivariant spectral sequence
• Vanishing resonance and representations of Lie algebras
• Algebraic invariants for right-angled Artin groups.
• Toric complexes and Artin kernels
• Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
• Topological invariants of groups and Koszul modules
• Koszul modules and Green's conjecture
• Abelian duality and propagation of resonance
• Around the Tangent Cone Theorem
• The Geometry of Syzygies
• Resolutions of monomial ideals and cohomology over exterior algebras
• Monomial Ideals
• Linear strands of multigraded free resolutions

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