Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve.
De Rham-Witt cohomology and displays.
Overconvergent de Rham-Witt cohomology
The goal of this work is to construct, for a smooth variety over a perfect field k of finite characteristic , an overconvergent de Rham-Witt complex as a suitable subcomplex of the de Rham-Witt complex of Deligne-Illusie. This complex, which is functorial in , is a complex of étale sheaves and a differential graded algebra over the ring of overconvergent Witt-vectors. If is affine one proves that there is an isomorphism between Monsky-Washnitzer cohomology and (rational) overconvergent...
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