Pencil genus for normal surface singularities
type: Item
instance of: scholarly article
title: Pencil genus for normal surface singularities
zbMATH Open document ID: 1140.32016
author: Tadashi Tomaru
published in: Journal of the Mathematical Society of Japan
publication date: 2007-04-02T00:00:00Z
review text: In this paper the author constructs an invariant for normal complex surface singularities \((X,0)\) and for pairs \(((X,0),h)\), \(h\in \mathcal O_{X,0}\) in terms of pencils of compact complex curves. He also gives a method to construct pencils of compact complex curves from the resolution space of the surface singularity and holomorphic functions on it. The Kodaira singularities are characterized in terms of these invariants. The results are well illustrated by various examples.
reviewed by: Corina Baciu
Mathematics Subject Classification ID: 32S10
Mathematics Subject Classification ID: 32S25
Mathematics Subject Classification ID: 14J17
zbMATH DE Number: 5139568
zbMATH Keywords: invariants of analytic local rings
zbMATH Keywords: surface singularities
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/1180135500
OpenAlex ID: W2094007126
DOI: 10.2969/JMSJ/1180135500
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description: scientific article; zbMATH DE number 5139568