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2021 Real Structures on Horospherical Varieties
Lucy Moser-Jauslin, Ronan Terpereau
Michigan Math. J. Advance Publication 1-38 (2021). DOI: 10.1307/mmj/20195793

Abstract

We study the equivariant real structures on complex horospherical varieties, generalizing classical results known for toric varieties and flag varieties. We obtain a necessary and sufficient condition for the existence of an equivariant real structure on a given horospherical variety, and we determine the number of equivalence classes of equivariant real structures on horospherical homogeneous spaces. We then apply our results to classifying the equivalence classes of equivariant real structures on smooth projective horospherical varieties of Picard rank 1.

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Lucy Moser-Jauslin. Ronan Terpereau. "Real Structures on Horospherical Varieties." Michigan Math. J. Advance Publication 1 - 38, 2021. https://doi.org/10.1307/mmj/20195793

Information

Received: 5 September 2019; Revised: 29 January 2020; Published: 2021
First available in Project Euclid: 23 December 2020

Digital Object Identifier: 10.1307/mmj/20195793

Subjects:
Primary: 11E72 , 14M17 , 14M27 , 14P99 , 20G20

Rights: Copyright © 2021 The University of Michigan

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