Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hodge-Riemann relations for Potts model partition functions   We prove that the Hessians of nonzero partial derivatives of the (homogenous)
multivariate Tutte polynomial of any matroid have exactly one positive
eigenvalue on the positive orthant when $0<q\leq 1$. Consequences are proofs of
the strongest conjecture of Mason and negative dependence properties for
$q$-state Potts model partition functions.

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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an