The first cotangent cohomology module for matroids

DOI10.4171/jca/73arXiv2204.05777MaRDI QIDQ6082521

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Publication date: 30 November 2023

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.05777

zbMATH Keywords

Stanley-Reisner ringsimplicial complexesmatroidscotangent cohomology

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

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• Algebraically rigid simplicial complexes and graphs
• Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals
• Cotangent cohomology of Stanley-Reisner rings
• Deformations of Algebraic Schemes
• Deformation Theory
• Symbolic powers and matroids
• The Cotangent Complex of a Morphism

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