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K-Theory of non-linear projective toric varieties
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Thomas Hüttemann
Published/Copyright:
January 30, 2009
Abstract
We define a category of quasi-coherent sheaves of topological spaces on projective toric varieties and prove a splitting result for its algebraic K-theory, generalising earlier results for projective spaces. The splitting is expressed in terms of the number of interior lattice points of dilations of a polytope associated to the variety. The proof uses combinatorial and geometrical results on polytopal complexes. The same methods also give an elementary explicit calculation of the cohomology groups of a projective toric variety over any commutative ring.
Received: 2007-01-31
Revised: 2007-05-15
Published Online: 2009-01-30
Published in Print: 2009-January
© de Gruyter 2009
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- Generating abelian groups by addition only
- Intrinsic ultracontractivity for non-symmetric Lévy processes
- K-Theory of non-linear projective toric varieties
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Articles in the same Issue
- Central extensions of rank 2 groups and applications
- Generating abelian groups by addition only
- Intrinsic ultracontractivity for non-symmetric Lévy processes
- K-Theory of non-linear projective toric varieties
- Wakamatsu tilting modules with finite FP-injective dimension
- The catenary and tame degree of numerical monoids
- On extending Prüfer rings in central simple algebras
- Geometry of the cone of positive quadratic forms
