Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Galois closure and Lagrangian varieties   We use Galois closures of finite rational maps between complex projective
varieties to introduce a new method for producing varieties such that the
holomorphic part of the cup product map has non-trivial kernel. We then apply
our result to the two-dimensional case and we construct a new family of
surfaces which are Lagrangian in their Albanese variety. Moreover, we analyze
these surfaces computing their Chern invariants, and proving that they are not
fibred over curves of genus greater than one.

28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin