Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphisms of smooth canonically polarized surfaces in characteristic
  2   This paper investigates the structure of the automorphism scheme of a smooth
canonically polarized surface $X$ defined over an algebraically closed field of
characteristic 2. In particular it is investigated when Aut(X) is not smooth.
This is a situation that appears only in positive characteristic and it is
closely related to the structure of the moduli stack of canonically polarized
surfaces. Restrictions on certain numerical invariants of X are obtained in
order for Aut(X) to be smooth or not and information is provided about the
structure of the component of Aut(X) containing the identity. In particular, it
is shown that if X is a smooth canonically polarized surface with 1\leq K_X^2
\leq 2 with non smooth automorphism scheme, then X is uniruled. Moreover, if
K_X^2=1, then X is simply connected, unirational and p_g(X) \leq 1. Moreover, X
is the purely inseparable quotient of a rational surface by a rational vector
field.

17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci