Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalization of Riemann's theta functions for singular curves   Let $X$ be a compact Riemann surface of genus $g$. Jacobi's inversion theorem
states that the Abel-Jacobi map $\varphi : X^{(g)} \longrightarrow J(X)$ is
surjective, where $X^{(g)}$ is the symmetric product of $X$ of degree $g$ and
$J(X)$ is the Jacobi variety of $X$. Riemann obtained the explicit solution of
the Jacobi inversion problem introducing Riemann's theta functions. We study
such a problem for singular curves. We define a generalization of Riemann's
theta functions and Riemann's constants. We obtain similar results for singular
curves.

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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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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: bayes-an
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The categories of this paper are: chao-dyn