Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher K-theory of toric varieties   A natural higher K-theoretic analogue of the triviality of vector bundles on
affine toric varieties is the conjecture on nilpotence of the multiplicative
action of the natural numbers on the K-theory of these varieties. This includes
both Quillen's fundamental result on K-homotopy invariance of regular rings and
the stable version of the triviality of vector bundles on affine toric
varieties. Moreover, it yields a similar behavior of not necessarily affine
toric varieties and, further, of their equivariant closed subsets.
  The conjecture is equivalent to the claim that the relevant admissible
morphisms of the category of vector bundles on an affine toric variety can be
supported by monomials not in a non-degenerate corner subcone of the underlying
polyhedral cone. We prove that one can in fact eliminate all lattice points in
such a subcone, except maybe one point. The elimination of the last point is
also possible in 0 characteristic if the action of the big Witt vectors
satisfies a very natural condition. A partial result on this in the arithmetic
case provides first non-simplicial examples -- actually, an explicit infinite
series of combinatorially different affine toric varieties, verifying the
conjecture for all higher groups simultaneously.

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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int