Flexibility of normal affine horospherical varieties

Gaifullin, Sergey; Shafarevich, Anton

doi:10.1090/proc/14528

Flexibility of normal affine horospherical varieties
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by Sergey Gaifullin and Anton Shafarevich PDF

Proc. Amer. Math. Soc. 147 (2019), 3317-3330 Request permission

Abstract:

We investigate flexibility of affine varieties with an action of a linear algebraic group. Flexibility of a smooth affine variety with only constant invertible functions and a locally transitive action of a reductive group is proved. Also we show that a normal affine complexity-zero horospherical variety with only constant invertible functions is flexible.

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