On certain extensions of vector bundles in p-adic geometry
Algebraic Geometry
2022-03-22 v2 Number Theory
Abstract
Given two arbitrary vector bundles on the Fargues-Fontaine curve, we give an explicit criterion in terms of Harder-Narasimhan polygons on whether they realize a semistable vector bundle as their extensions. Our argument is largely combinatorial and builds upon the dimension analysis of certain moduli spaces of bundle maps developed in [BFH+22].
Cite
@article{arxiv.2002.06706,
title = {On certain extensions of vector bundles in p-adic geometry},
author = {Serin Hong},
journal= {arXiv preprint arXiv:2002.06706},
year = {2022}
}
Comments
14 pages. Heavily revised due to an error in the previous version