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Über gewisseG-stabile Teilmengen in projektiven Räumen

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Abstract

LetG be a connected affine algebraic group over an algebraically closed field of characteristic 0. LetN be a regularG-module andP(N) its projective space. In this article we study those locally closedG-stable subsets ofP(N) which contain in everyG-orbit a fixed point of a maximal unipotent subgroup ofG. Varieties of this type which contain only one closed orbit are classified by “painted monoids”. Necessary and sufficient conditions on a painted monoid are given so that the corresponding variety is smooth.

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  1. Institut für Mathematik, Universität Innsbruck, Technikerstraße 25, A-6020, Innsbruck, Österreich

    Franz Pauer

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  1. Franz Pauer
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Pauer, F. Über gewisseG-stabile Teilmengen in projektiven Räumen. Manuscripta Math 66, 1–16 (1990). https://doi.org/10.1007/BF02568478

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  • DOI: https://doi.org/10.1007/BF02568478

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