Nestings of rational homogeneous varieties
Algebraic Geometry
2023-07-04 v2
Abstract
In this paper we study the existence of sections of universal bundles on rational homogeneous varieties -- called nestings -- classifying them completely in the case in which the Lie algebra of the automorphism group of the variety is simple of classical type. In particular we show that, under this hypothesis, nestings do not exist unless there exists a proper algebraic subgroup of the automorphism group acting transitively on the base variety.
Keywords
Cite
@article{arxiv.1905.01057,
title = {Nestings of rational homogeneous varieties},
author = {Roberto Muñoz and Gianluca Occhetta and Luis E. Solá Conde},
journal= {arXiv preprint arXiv:1905.01057},
year = {2023}
}
Comments
Major revision of the exposition. To appear in Tranformation Groups