Equations of \(G\)-minimal conic bundles
type: Item
instance of: scholarly article
zbMATH Open document ID: 1261.14006
author: V. I. Tsygankov
published in: Sbornik: Mathematics
publication date: 2012-04-12T00:00:00Z
Mathematics Subject Classification ID: 14E07
Mathematics Subject Classification ID: 14J26
Mathematics Subject Classification ID: 14J50
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 6023002
zbMATH Keywords: Cremona group
zbMATH Keywords: conic bundle
MaRDI profile type: Publication
full work available at URL: sm2011v202n11abeh004204
OpenAlex ID: W2063521644
DOI: 10.1070/SM2011V202N11ABEH004204
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title: Equations of \(G\)-minimal conic bundles
review text: The authors develop a method for the computation of the equation of a \(G\)-minimal bundle of conics with an arbitrary number of singular fibres. A detailed classification is given in the case of 4, 6, or 7 singular fibres. Further, the equation of the minimal conic bundles \((S,G)\) and an explicit description of the action of \(G\) on the Picard group \(\mathrm{Pic}(S)\) and on the surface \(S\) is given.
reviewed by: Boris Odehnal
description: scientific article; zbMATH DE number 6023002