Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On automorphisms of Enriques surfaces and their entropy   Consider an arbitrary automorphism of an Enriques surface with its lift to
the covering K3 surface. We prove a bound of the order of the lift acting on
the anti-invariant cohomology sublattice of the Enriques involution. We use it
to obtain some mod 2 constraint on the original automorphism. As an
application, we give a necessary condition for Salem numbers to be dynamical
degrees on Enriques surfaces and obtain a new lower bound on the minimal value.
In the Appendix, we give a complete list of Salem numbers that potentially may
be the minimal dynamical degree on Enriques surfaces and for which the
existence of geometric automorphisms is unknown.

26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys