Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $J$-invariant of hermitian forms over quadratic extensions   We develop the version of the $J$-invariant for hermitian forms over
quadratic extensions in a similar way Alexander Vishik did it for quadratic
forms. This discrete invariant contains informations about rationality of
algebraic cycles on the maximal unitary grassmannian associated with a hermitan
form over a quadratic extension. The computation of the canonical $2$-dimension
of this grassmannian in terms of the $J$-invariant is provided, as well as a
complete motivic decomposition.

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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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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: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: physics