Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational Hodge isometries of hyper-Kahler varieties of K3[n]-type are
  algebraic   Let X and Y be compact hyper-Kahler manifolds deformation equivalence to the
Hilbert scheme of length n subschemes of a K3 surface. A cohomology class in
their product XxY is an analytic correspondence, if it belongs to the subring
generated by Chern classes of coherent analytic sheaves. Let f be a Hodge
isometry of their second rational cohomologies with respect to the
Beauville-Bogomolov-Fujiki pairings. We prove that f is induced by an analytic
correspondence. We furthermore lift f to an analytic correspondence F between
their total rational cohomologies, which is a Hodge isometry with respect to
the Mukai pairings, and which preserves the gradings up to sign. When X and Y
are projective the correspondences f and F are algebraic.

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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: atom-ph
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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: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph