Real structures on horospherical varieties - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2018

Real structures on horospherical varieties

Résumé

We study the equivariant real structures on complex horospher-ical varieties, generalizing classical results known for toric varieties and flag varieties. In particular, we obtain a necessary and sufficient condition for the existence of such real structures and determine the number of equivalence classes. We then apply our results to classify the equivariant real structures on smooth projective horospherical varieties of Picard rank 1.
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Dates et versions

hal-01865442 , version 1 (31-08-2018)
hal-01865442 , version 2 (27-07-2021)

Identifiants

  • HAL Id : hal-01865442 , version 1

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Lucy Moser-Jauslin, Ronan Terpereau, Mikhail Borovoi. Real structures on horospherical varieties. 2018. ⟨hal-01865442v1⟩
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