Canonical blow-ups of Grassmannians II
Algebraic Geometry
2023-10-27 v1 Complex Variables
Abstract
We give a linear algebraic construction of the Lafforgue spaces associated to the Grassmannians by blowing up certain explicitly defined monomial ideals, which sharpens and generalizes a result of Faltings. As an application, we provide a family of homogeneous varieties with high complexity and with nice compactifications, which exhibits the notion of homeward compactification introduced in our previous work in a non-spherical setting.
Keywords
Cite
@article{arxiv.2310.17367,
title = {Canonical blow-ups of Grassmannians II},
author = {Hanlong Fang and Mingyi Zhang},
journal= {arXiv preprint arXiv:2310.17367},
year = {2023}
}