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Overconvergent de Rham-Witt cohomology

Christopher Davis; Andreas Langer; Thomas Zink — 2011

Annales scientifiques de l'École Normale Supérieure

The goal of this work is to construct, for a smooth variety $X$ over a perfect field k of finite characteristic $p > 0$ , an overconvergent de Rham-Witt complex $W^{†} Ω_{X / k}$ as a suitable subcomplex of the de Rham-Witt complex of Deligne-Illusie. This complex, which is functorial in $X$ , is a complex of étale sheaves and a differential graded algebra over the ring $W^{†} (𝒪_{X})$ of overconvergent Witt-vectors. If $X$ is affine one proves that there is an isomorphism between Monsky-Washnitzer cohomology and (rational) overconvergent...

Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve.

Langer, Andreas — 1997

Documenta Mathematica

De Rham-Witt cohomology and displays.

Langer, Andreas; Zink, Thomas — 2007

Documenta Mathematica

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