Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality between S^2 P^4 and the Double Quintic Symmetroid   We obtain homological properties of the second symmetric product of P^4 and
the double cover of the symmetric determinantal quintic hypersurface in P^{14}
(the double quintic symmetroids), which indicate the homological projective
duality between (suitable noncommutative resolutions of) them. Among other
things, we construct their good desingularizations and also (dual) Lefschetz
collections in the derived categories of the desingularizations. These are
expected to give (dual) Lefschetz decompositions of suitable noncommutative
resolutions. The desingularization of the double quintic symmetroids also
contains its interesting birational geometries.

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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: eess