Hochschild and cyclic homology of hypersurfaces
type: Item
instance of: scholarly article
title: Hochschild and cyclic homology of hypersurfaces
zbMATH Open document ID: 0771.13007
DOI: 10.1016/0001-8708(92)90043-K
author: Jorge A. Guccione
author: Juan J. Guccione
author: María Julia Redondo
author: Orlando Eugenio Villamayor
published in: Advances in Mathematics
publication date: 1993-01-16T00:00:00Z
review text: Let \(k\) be a commutative ring and let \(f\in k[X_ 1,\dots,X_ n]\) be a polynomial. The aim of the paper under review is twofold: (1) To compute the Hochschild homology and cohomology ring of \(A=k[X_ 1,\dots,X_ n]/(f)\), and (2) To compute the cyclic homology of \(A\) in the case when \(k\supseteq\mathbb{Q}\), \(f\) is homogeneous and the vertex of the cone defined by \(f\) is the only singularity of it.
Mathematics Subject Classification ID: 13D03
Mathematics Subject Classification ID: 14J70
zbMATH DE Number: 94902
zbMATH Keywords: hypersurfaces
zbMATH Keywords: Hochschild homology
zbMATH Keywords: cohomology ring
reviewed by: Lucian Bădescu
MaRDI profile type: Publication
cites work: Q3818418
cites work: Q3794302
cites work: Cyclic homology and the Lie algebra homology of matrices
cites work: Q5343374
cites work: Q3728116
cites work: Homology of Noetherian rings and local rings
cites work: Cyclic homology of algebraic hypersurfaces
full work available at URL: 0001-8708(92)90043-k
OpenAlex ID: W2014104140
description: scientific article; zbMATH DE number 94902