Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximum Likelihood Duality for Determinantal Varieties   In a recent paper, Hauenstein, Sturmfels, and the second author discovered a
conjectural bijection between critical points of the likelihood function on the
complex variety of matrices of rank r and critical points on the complex
variety of matrices of co-rank r-1. In this paper, we prove that conjecture for
rectangular matrices and for symmetric matrices, as well as a variant for
skew-symmetric matrices. To appear in International Mathematics Research
Notices.

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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas