Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quotients of the square of a curve by a mixed action, further quotients
  and Albanese morphisms   We study mixed surfaces, the minimal resolution S of the singularities of a
quotient (C x C)/G of the "square" of a curve by a finite group G of
automorphisms that contains elements not preserving the factors. We study them
through the "further quotients" by (C x C)/G' where G' contains G.
  As a first application we prove that if the irregularity is at least 3, then
S is also minimal. The result is sharp.
  The main result is a complete description of the Albanese morphism of S
through a determined further quotient (C x C)/G' that is an \'etale cover of
the symmetric square of a curve. In particular, if the irregularity of S is at
least 2, then S has maximal Albanese dimension.
  We apply our result to all the "semi-isogenous" mixed surfaces of maximal
Albanese dimension constructed by Cancian and Frapporti, relating them with the
other constructions appearing in the literature of surfaces of general type
having the same invariants.

31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg