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On the $K$-theory and topological cyclic homology of smooth schemes over a discrete valuation ring

Author(s): Thomas Geisser; Lars Hesselholt
Journal: Trans. Amer. Math. Soc. 358 (2006), 131-145.
MSC (2000): Primary 11G25; Secondary 19F27
Posted: December 28, 2004
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Abstract: We show that for a smooth and proper scheme over a henselian discrete valuation ring of mixed characteristic $(0,p)$, the $p$-adic étale $K$-theory and $p$-adic topological cyclic homology agree.

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Additional Information:

Thomas Geisser
Affiliation: Department of Mathematics, University of Southern California, Los Angeles, California 90089
Email: geisser@math.usc.edu

Lars Hesselholt
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email: larsh@math.mit.edu

DOI: 10.1090/S0002-9947-04-03599-8
PII: S 0002-9947(04)03599-8
Received by editor(s): August 15, 2002
Received by editor(s) in revised form: January 2, 2004
Posted: December 28, 2004
Additional Notes: Both authors were supported in part by the NSF and the Alfred P. Sloan Foundation. The first author received additional support from the JSPS
Copyright of article: Copyright 2004, American Mathematical Society

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