Infinitesimal deformations of generalized cusp singularities
type: Item
instance of: scholarly article
title: Infinitesimal deformations of generalized cusp singularities
zbMATH Open document ID: 0629.32018
author: Shoetsu Ogata
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1987-01-01T00:00:00Z
review text: The paper is organized in three sections. In section 1 the author constructs a normal isolated singularity (V,p) having the property that \(V\setminus \{p\}\) is isomorphic to a quotient of a Siegel domain of the second kind. The author calls this singularity a ``cusp''. In section 2 he considers a singularity (V,p) which satisfied some additional condition in the sense of Thuchihashi. He shows that there exist isomorphisms \(T^ 1_ V \cong H^ 1(V\setminus \{p\},\theta_ V)\) and \(H^ 1(U,\theta_ U(-\log X)) \cong H^ 1(V\setminus \{p\},\theta_ V)\) for some resolution (U,X) of a ``cusp'' singularity (V,p) of a dimension greater than two. Section 3 contains the proofs. The paper is well written and contains complete bibliographic data on these results.
Mathematics Subject Classification ID: 32S30
Mathematics Subject Classification ID: 14B07
zbMATH DE Number: 4023697
zbMATH Keywords: cohomology group with compact support
zbMATH Keywords: infinitesimal deformations of cusp singularities
zbMATH Keywords: Siegel domain of the second kind
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178228327
OpenAlex ID: W1992494022
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DOI: 10.2748/TMJ/1178228327
description: scientific article; zbMATH DE number 4023697