On the $K$-theory and topological cyclic homology of smooth schemes over a discrete valuation ring
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- by Thomas Geisser and Lars Hesselholt PDF
- Trans. Amer. Math. Soc. 358 (2006), 131-145 Request permission
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.References
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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
- MR Author ID: 329414
- Email: larsh@math.mit.edu
- Received by editor(s): August 15, 2002
- Received by editor(s) in revised form: January 2, 2004
- Published electronically: 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 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 358 (2006), 131-145
- MSC (2000): Primary 11G25; Secondary 19F27
- DOI: https://doi.org/10.1090/S0002-9947-04-03599-8
- MathSciNet review: 2171226