Normal affine surfaces with $\bf C^*$-actions

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dc.creatorFlenner, Hubert
dc.creatorZaidenberg, Mikhail
dc.date2002-10-10
dc.date.accessioned2026-07-07T04:51:48Z
dc.date.available2026-07-07T04:51:48Z
dc.descriptionA classification of normal affine surfaces admitting a $\bf C^*$-action was given in the work of Białynicki-Birula, Fieseler and L. Kaup, Orlik and Wagreich, Rynes and others. We provide a simple alternative description of such surfaces in terms of their graded rings as well as by defining equations. This is based on a generalization of the Dolgachev-Pinkham-Demazure construction in the case of a hyperbolic grading. As an apllication we determine the structure of singularities, of the orbits and the divisor class groups for such surfaces.
dc.descriptionUses P.Taylor's diagrams.tex
dc.identifierhttps://arxiv.org/abs/math/0210153
dc.identifierhttp://arxiv.org/abs/math/0210153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65242
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject13A02, 13F15, 14R05, 14L30
dc.titleNormal affine surfaces with $\bf C^*$-actions
dc.typetext

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