Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Splitting mixed Hodge structures over affine invariant manifolds   We prove that affine invariant manifolds in strata of flat surfaces are
algebraic varieties. The result is deduced from a generalization of a theorem
of M\"oller. Namely, we prove that the image of a certain twisted Abel-Jacobi
map lands in the torsion of a factor of the Jacobians. This statement can be
viewed as a splitting of certain mixed Hodge structures.

37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph