On the contact cohomology of isolated hypersurface singularities
type: Item
instance of: scholarly article
title: On the contact cohomology of isolated hypersurface singularities
zbMATH Open document ID: 0804.55006
author: Erjian Xiao
published in: Chinese Annals of Mathematics. Series B
publication date: 1995-01-19T00:00:00Z
review text: Let \(U\) be an open set in \(C^ N\), \(0\in U\), \(f: (U,0)\to (R,0)\) be a \(C^ \infty\)-function, \(F\) corresponds to the \(k\)-truncated Taylor expansion of \(f\) in the structure sheaf of the \(k\)-th infinitesimal neighborhood of \(U\). The author describes cohomologies of the complex \[ \Lambda^ ._{f,k-\cdot}: \Lambda^ 0_{f,k} @>{\mathcal D} >>\dots \to \Lambda^ p_{f,k-p} @>{\mathcal D} >> \Lambda^{p+1}_{f,k-p-1}\to \dots, \qquad \text{where} \qquad \Lambda^ p_{f,k-p}= {{\Omega^ p_{f,k-p,0}} \over {F\Omega^ p_{f,k-p,0}}} \] in notations of the author [Math. Ann. 262, 255-272 (1983; Zbl 0507.58013); Chin. Ann. Math., Ser. A 12, No. 2, 137-144 (1991; Zbl 0735.32023)].
Mathematics Subject Classification ID: 55N30
Mathematics Subject Classification ID: 57R45
Mathematics Subject Classification ID: 58C25
Mathematics Subject Classification ID: 58K99
Mathematics Subject Classification ID: 32C35
zbMATH DE Number: 482129
zbMATH Keywords: singularities
zbMATH Keywords: Taylor polynomial
zbMATH Keywords: open set in \(C^ N\)
zbMATH Keywords: \(C^ \infty\)- function
zbMATH Keywords: structure sheaf
zbMATH Keywords: \(k\)-th infinitesimal neighborhood
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 482129