Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theta-duality on Prym varieties and a Torelli Theorem   Let p:C' -> C be an unramified double covering of irreducible smooth curves
and let P be the attached Prym variety. We prove the schematic theta-dual
equalities in the Prym variety T(C')=V^2 and T(V^2)=C', where V^2 is the
Brill-Noether locus of P associated to p considered by Welters. As an
application we prove a Torelli Theorem analogous to the fact that the g-th
symmetric product of a curve D of genus g determines the curve.

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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int