Mathematics – Algebraic Geometry
Scientific paper
2003-02-13
Indag. Math. (N.S.) 11 (2000), no. 2, 173--185.
Mathematics
Algebraic Geometry
14 pages
Scientific paper
Colliot-Th{\'e}l{\`e}ne has determined the Chow group of zero-cycles on a Ch{\^a}telet surface X defined over a finite extension K of the field of p-adic numbers (p an odd prime) when X is split by an unramified extension of K. Using similar techniques, we extend this calculation to the ramified case, simplifying his result in the process. We also determine how this group changes when we pass from K to a finite extension of K.
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