Isotropic Kempf--Laksov flag bundles
Algebraic Geometry
2023-01-10 v3
Abstract
We introduce analogs of the Kempf--Laksov desingularizations of Schubert bundles in (non-necessary Lagrangian) symplectic Grassmann bundles. In this setting, these are (possibly singular) irreducible flag bundles that are birational to Schubert bundles, and can be described as chains of zero-loci of regular sections in projectivized bundles. The orthogonal analogs are also presented. We immediatly derive universal Gysin formulas for isotropic Schubert bundles from these very constructions.
Cite
@article{arxiv.2111.15245,
title = {Isotropic Kempf--Laksov flag bundles},
author = {Lionel Darondeau},
journal= {arXiv preprint arXiv:2111.15245},
year = {2023}
}
Comments
Dedicated to Professor Piotr Pragacz. To appear in L'Enseignement Math\'ematique