Degenerations of Grassmannians via lattice configurations II

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...

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Bibliographic Details
Published in:arXiv.org 2024-08
Main Authors: He, Xiang, Zhang, Naizhen
Format: Article
Language:English
Subjects:
Configurations
Topology
Online Access:Get full text
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Summary: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.
ISSN:2331-8422