Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tau functions, Prym-Tyurin classes and loci of degenerate differentials   We study the rational Picard group of the projectivized moduli space of
holomorphic n-differentials on complex genus g stable curves. We define (n - 1)
natural classes in this Picard group that we call Prym-Tyurin classes. We
express these classes as linear combinations of boundary divisors and the
divisor of n-differentials with a double zero. We give two different proofs of
this result, using two alternative approaches: an analytic approach that
involves the Bergman tau function and its vanishing divisor and an
algebro-geometric approach that involves cohomological computations on the
universal curve.

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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th