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2005 Higher-dimensional arithmetic using p-adic étale Tate twists
Kanetomo Sato
Homology Homotopy Appl. 7(3): 173-187 (2005).

Abstract

This paper is a survey on recent researches of the author and his recent joint work with Shuji Saito. We will explain how to construct p-adic étale Tate twists on regular arithmetic schemes with semistable reduction, and state some fundamental properties of those objects. We will also explain how to define cycle class maps from Chow groups to étale cohomology groups with coefficients in p-adic étale Tate twists and state injectivity and surjectivity results on those new cycle class maps.

Citation

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Kanetomo Sato. "Higher-dimensional arithmetic using p-adic étale Tate twists." Homology Homotopy Appl. 7 (3) 173 - 187, 2005.

Information

Published: 2005
First available in Project Euclid: 13 February 2006

zbMATH: 1081.14035
MathSciNet: MR2205174

Subjects:
Primary: 14F30, 14F42, 14G40

Rights: Copyright © 2005 International Press of Boston

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Vol.7 • No. 3 • 2005
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