Singular del Pezzo surfaces and isotropic flag varieties
Algebraic Geometry
2026-01-14 v1
Abstract
We compute the Chow quotient of the complete flag variety of isotropic subspaces of a four dimensional complex vector space with respect to a skew/symmetric form, and show that it is a singular del Pezzo surface of degree four.
Cite
@article{arxiv.2601.08704,
title = {Singular del Pezzo surfaces and isotropic flag varieties},
author = {Michele Bianco and Luis E. Solá Conde},
journal= {arXiv preprint arXiv:2601.08704},
year = {2026}
}