Cyclic homology of algebraic hypersurfaces

DOI10.1016/0022-4049(91)90132-LzbMath0732.16008MaRDI QIDQ809163

Micheline Vigué-Poirrier

Publication date: 1991

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

zbMATH Keywords

cyclic homologyHochschild homologyweighted homogeneous polynomialalgebraic hypersurfacescommutative algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Rational homotopy theory (55P62) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)

Related Items

Hochschild and cyclic homology of Yang–Mills algebras, The cyclic homology of affine algebras, Cyclic homology of affine hypersurfaces with isolated singularities, Theory of Koszul operads and homology of Poisson algebras, The Künneth formula in periodic cyclic homology, Hochschild and cyclic homology of the quantum multiparametric torus, Homology of primitive quotients of the universal enveloping algebra of \({\mathfrak sl}(2)\), Hochschild homology and cohomology of down-up algebras, Hochschild and cyclic homology of hypersurfaces, Cyclic homology of hypersurfaces, Hodge decompositions of Loday symbols in \(K\)-theory and cyclic homology, On Hochschild and cyclic homology of certain homogeneous spaces, Décompositions de l'homologie cyclique des algèbres différentielles graduées commutatives. (Decompositions of cyclic homology of commutative differential graded algebras)

Cites Work

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• Cyclic homology, derivations, and the free loopspace
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• Isolated singularities of algebraic surfaces with \(\mathbb{C}^{*}\) action
• Rational Algebraic K-Theory of Certain Truncated Polynomial Rings
• The cyclic homology and 𝐾-theory of curves