On the rigidity of the cotangent complex at the prime 2

DOI10.1016/j.jpaa.2008.11.041zbMath1170.13006OpenAlexW2004644987MaRDI QIDQ1013097

James M. Turner

Publication date: 16 April 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.11.041

zbMATH Keywords

cotangent complexhomotopy operationAndré operationdivided squaresimplicial commutative algebra

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)

Cites Work

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• On the non-vanishing of cotangent cohomology
• Puissances divisees des algèbres simpliciales en caractéristique deux et séries de Poincaré de certains anneaux locaux
• La (2p+1)-eme déviation d'un anneau local
• Extensions du groupe additif
• Structure of local homomorphisms
• On simplicial commutative algebras with noetherian homotopy
• Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology
• Homotopical algebra
• Rational homotopy theory
• Homotopy Operations for Simplicial Commutative Algebras
• André–Quillen homology of algebra retracts
• Relations Among Homotopy Operations for Simplicial Commutative Algebras
• Homology
• On simplicial commutative algebras with vanishing André-Quillen homology

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