Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extensions of Vector Bundles on the Fargues-Fontaine Curve   We completely classify the possible extensions between semistable vector
bundles on the Fargues-Fontaine curve (over an algebraically closed perfectoid
field), in terms of a simple condition on Harder-Narasimhan polygons. Our
arguments rely on a careful study of various moduli spaces of bundle maps,
which we define and analyze using Scholze's language of diamonds. This analysis
reduces our main results to a somewhat involved combinatorial problem, which we
then solve via a reinterpretation in terms of the euclidean geometry of
Harder-Narasimhan polygons.

22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat