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Concentration theorem and relative fixed point formula of Lefschetz type in Arakelov geometry
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Shun Tang
Published/Copyright:
July 24, 2011
Abstract
In this paper we prove a concentration theorem for arithmetic K0-theory, this theorem can be viewed as an analog of R. Thomason's result (cf. [22]) in the arithmetic case. We will use this arithmetic concentration theorem to prove a relative fixed point formula of Lefschetz type in the context of Arakelov geometry. Such a formula was conjectured of a slightly stronger form by K. Köhler and D. Roessler in [16] and they also gave a correct route of its proof there. Nevertheless our new proof is much simpler since it looks more natural and it doesn't involve too many complicated computations.
Received: 2010-02-11
Revised: 2010-11-23
Published Online: 2011-07-24
Published in Print: 2012-04
©[2012] by Walter de Gruyter Berlin Boston
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- Hochschild and cyclic homology of Yang–Mills algebras
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- Concentration theorem and relative fixed point formula of Lefschetz type in Arakelov geometry
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Articles in the same Issue
- Extended rotation algebras: Adjoining spectral projections to rotation algebras
- Hochschild and cyclic homology of Yang–Mills algebras
- Rational curves on hypersurfaces
- Strong rational connectedness of surfaces
- Concentration theorem and relative fixed point formula of Lefschetz type in Arakelov geometry
- On weak Fano varieties with log canonical singularities
