Quotients of flag varieties and their birational geometry
Algebraic Geometry
2025-12-12 v2
Abstract
We compute the Chow quotient of the complete flag variety of subspaces of a four dimensional complex vector space, show that it is smooth and a Mori Dream Space, and describe in detail its birational geometry.
Keywords
Cite
@article{arxiv.2509.05063,
title = {Quotients of flag varieties and their birational geometry},
author = {Lorenzo Barban and Gianluca Occhetta and Luis E. Solá Conde},
journal= {arXiv preprint arXiv:2509.05063},
year = {2025}
}
Comments
Improved version, 43 pages, 9 figures