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Licensed Unlicensed Requires Authentication Published by De Gruyter July 24, 2011

Concentration theorem and relative fixed point formula of Lefschetz type in Arakelov geometry

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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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