Automorphism group orbits on horospherical varieties and divisor class group
Algebraic Geometry
2022-05-13 v2
Abstract
In 2013 Bazhov proved a criterium for two points on a complete toric variety to lie in the same orbit of the neutral component of automorphism group. This criterium is in terms of divisor class group. Arzhantsev-Bazhov (2013) obtained a similar criterium for affine toric varieties. We prove a necessary condition similar this criteria to the cases of affine and projective horospherical varieties.
Cite
@article{arxiv.2205.05286,
title = {Automorphism group orbits on horospherical varieties and divisor class group},
author = {Sergey Gaifullin},
journal= {arXiv preprint arXiv:2205.05286},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2105.05897