Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the deformed Hermitian Yang-Mills PDE   We prove a priori estimates for a generalised Monge-Amp\`ere PDE with
"non-constant coefficients" thus improving a result of Sun in the K\"ahler
case. We apply this result to the deformed Hermitian Yang-Mills (dHYM) equation
of Jacob-Yau to obtain an existence result and a priori estimates for some
ranges of the phase angle assuming the existence of a subsolution. We then
generalise a theorem of Collins-Sz\`ekelyhidi on toric varieties and use it to
address a conjecture of Collins-Jacob-Yau.

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The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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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: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol