English

Filtrations and Buildings

Algebraic Geometry 2019-10-28 v4 Group Theory Metric Geometry

Abstract

We construct and study a scheme theoretical version of the Tits vectorial building, relate it to filtrations on fiber functors, and use them to clarify various constructions pertaining to Bruhat-Tits buildings, for which we also provide a Tannakian description.

Keywords

Cite

@article{arxiv.1411.5567,
  title  = {Filtrations and Buildings},
  author = {Christophe Cornut},
  journal= {arXiv preprint arXiv:1411.5567},
  year   = {2019}
}

Comments

En hommage {\`a} Alexander Grothendieck

R2 v1 2026-06-22T07:05:59.291Z