On Picard Number and Dimension of Algebraic Homogeneous Spaces
Algebraic Geometry
2026-03-24 v3
Abstract
An algebraic variety is called a homogeneous space if there exists a transitive regular action of an algebraic group on . We prove inequalities between the dimension of a homogeneous space of a linear algebraic group and its Picard number.
Cite
@article{arxiv.2412.07044,
title = {On Picard Number and Dimension of Algebraic Homogeneous Spaces},
author = {Ivan Beldiev and Dmitry Timashev},
journal= {arXiv preprint arXiv:2412.07044},
year = {2026}
}