Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Involutions and Chern numbers of varieties   Consider an involution of a smooth projective variety over a field of
characteristic not two. We look at the relations between the variety and the
fixed locus of the involution from the point of view of cobordism. We show in
particular that the fixed locus has dimension larger than its codimension when
certain Chern numbers of the variety are not divisible by two, or four. Some of
those results, but not all, are analogues of theorems in algebraic topology
obtained by Conner-Floyd and Boardman in the sixties. We include versions of
our results concerning the vanishing loci of idempotent global derivations in
characteristic two. Our approach to cobordism, following Merkurjev's, is
elementary, in the sense that it does not involve resolution of singularities
or homotopical methods.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph