Reduction of derived Hochschild functors over commutative algebras and schemes

DOI10.1016/j.aim.2009.09.002zbMath1183.13021arXiv0904.4004OpenAlexW2044215123WikidataQ56003587 ScholiaQ56003587MaRDI QIDQ1047673

Joseph Lipman, Luchezar L. Avramov, Srikanth B. Iyengar, Suresh Nayak

Publication date: 5 January 2010

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

Full work available at URL: https://arxiv.org/abs/0904.4004

zbMATH Keywords

Hochschild cohomologyHochschild derived functorsrelative dualizing complex

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25) Derived categories and commutative rings (13D09)

Related Items (17)

Compactification for essentially finite-type maps ⋮ Applications of Differential Graded Algebra Techniques in Commutative Algebra ⋮ Smooth flat maps over commutative DG-rings ⋮ The twisted inverse image pseudofunctor over commutative DG rings and perfect base change ⋮ Adjoints to a Fourier-Mukai functor ⋮ An improvement on the base-change theorem and the functor \(f^!\) ⋮ The squaring operation for commutative DG rings ⋮ The Jacobian ideal of a commutative ring and annihilators of cohomology ⋮ Grothendieck duality made simple ⋮ Relations Between Derived Hochschild Functors via Twisting ⋮ Weakly stable torsion classes ⋮ Gross-Hopkins duality and the Gorenstein condition ⋮ Completion and torsion over commutative DG rings ⋮ Support varieties over skew complete intersections via derived braided Hochschild cohomology ⋮ Relation between two twisted inverse image pseudofunctors in duality theory ⋮ Reduction of Hochschild cohomology over algebras finite over their center. ⋮ The decomposition of \(\Hom_k(S,k)\) into indecomposable injectives

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