Degenerations of Grassmannians via lattice configurations II
Algebraic Geometry
2024-08-06 v2
Abstract
This paper is a continuation of our study of degenerations of Grassmannians in our last paper, called linked Grassmannians, constructed using convex lattice configurations in Bruhat-Tits buildings. We describe the geometry and topology of linked Grassmannians associated to a larger class of lattice configurations, generalizing the results in the last paper. In doing so, we utilize results on the geometry of quiver Grassmannians and affine Schubert varieties, and make comparison to the study of certain local models of Shimura varieties.
Keywords
Cite
@article{arxiv.2305.00158,
title = {Degenerations of Grassmannians via lattice configurations II},
author = {Xiang He and Naizhen Zhang},
journal= {arXiv preprint arXiv:2305.00158},
year = {2024}
}
Comments
Minor changes, accepted to Mathematische Annalen