Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deligne-Illusie Classes I: Lifted Torsors of Lifts of the Frobenius for
  Curves   For curves of genus bigger than one we prove that Buium's first arithmetic
jet spaces (p-jet spaces) admit the structure of a torsor under some line
bundle.
  This result lifts a known constructions in characteristic p where the first
$p$-jet space modulo p is a sheaf under the Frobenius tangent sheaf
(parametrizing Frobenius linear derivations).
  In particular we show there is a natural family of lifts of the Frobenius
tangent bundle so that the first $p$-jet space (and hence higher order lifts of
the Frobenius) form torsor a under this bundle.
  The Cech cohomology classes associated to this torsor structure, which we
call the Deligne-Illusie class, has strong analogies with the classical
Kodaira-Spencer class from deformation theory.

30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph