Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Descent theory of simple sheaves on $C_1$-fields   Let $K$ be a $C_1$-field of any characteristic and $X$ a projective variety
over $K$. In this article we prove that for a finite Galois extension $L$ of
$K$, a simple sheaf with covering datum on $X \times_K L$ descends to a simple
sheaf on $X$. As a consequence, we show that there is a $1-1$ correspondence
between the set of geometrically stable sheaves on $X$ with fixed Hibert
polynomial $P$ and the set of $K$-rational points of the corresponding moduli
space.

16
The categories of this paper are: stat
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph