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Closures of SL(2)-orbits in projective spaces

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Abstract

LetB be a Borel-subgroup ofSL(2,C). In this note we describe the closures of arbitrarySL(2,C)-andB-orbits in the projective space of regularSL(2,C)-modules by means of simple combinatorial data. We give a criterion to detect whether the number of orbits in an orbit-closure is finite or not.

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

    Franz Pauer

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  1. Franz Pauer
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Pauer, F. Closures of SL(2)-orbits in projective spaces. Manuscripta Math 87, 295–309 (1995). https://doi.org/10.1007/BF02570476

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  • DOI: https://doi.org/10.1007/BF02570476

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