Bruhat-Tits group schemes over higher dimensional base-II
Algebraic Geometry
2026-03-06 v1
Abstract
We prove that split reductive BT group schemes over a higher dimensional base are {\em affine}. Our method also gives a new construction of higher BT-group schemes more general than parahoric ones. The new ingredients are an extension of J.-K.Yu's construction in \cite{yu} to higher dimensional bases, N\'eron-Raynaud dilatations of subgroup schemes on divisors, combined with techniques from \cite{bt2} and the structure theory developed in \cite{bp}.
Keywords
Cite
@article{arxiv.2603.05106,
title = {Bruhat-Tits group schemes over higher dimensional base-II},
author = {Vikraman Balaji and Yashonidhi Pandey},
journal= {arXiv preprint arXiv:2603.05106},
year = {2026}
}