Normal real affine varieties with circle actions

Abstract : We provide a complete description of normal affine algebraic varieties over the real numbers endowed with an effective action of the real circle, that is, the real form of the complex multiplicative group whose real locus consists of the unitary circle in the real plane. Our approach builds on the geometrico-combinatorial description of normal affine varieties with effective actions of split tori in terms of proper polyhedral divisors on semiprojective varieties due to Altmann and Hausen
Type de document :
Pré-publication, Document de travail
2018
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https://hal.archives-ouvertes.fr/hal-01909130
Contributeur : Adrien Dubouloz <>
Soumis le : mardi 30 octobre 2018 - 19:24:47
Dernière modification le : mercredi 31 octobre 2018 - 01:07:25

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  • HAL Id : hal-01909130, version 1
  • ARXIV : 1810.11712

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Adrien Dubouloz, Alvaro Liendo. Normal real affine varieties with circle actions. 2018. 〈hal-01909130〉

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