Horospherical two-orbit varieties as zero loci
Algebraic Geometry
2020-12-11 v1
Abstract
We present geometric realizations of horospherical two-orbit varieties, by showing that their blow-up along the unique closed-invariant orbit is the zero locus of a general section of a homogeneous vector bundle over some auxiliary variety. As an application, we compute the cohomology ring of the -variety, including its quantum version. We also consider the Spin-variety, which deserves a different treatment.
Keywords
Cite
@article{arxiv.2012.05513,
title = {Horospherical two-orbit varieties as zero loci},
author = {Boris Pasquier and Laurent Manivel},
journal= {arXiv preprint arXiv:2012.05513},
year = {2020}
}