Overconvergent de Rham-Witt cohomology

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  • ODRW

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  • Christopher James Davis
  • Andreas Langer
  • Thomas Zink
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 WyX=k as a suitable sub-complex of the de Rham-Witt complex of Deligne-Illusie. This complex, which is functorial in X, is a complex of etale sheaves and a differential graded algebra over the ring Wy( OX) of Overconvergent Witt-vectors. If X is affine one proves that there is a isomorphism between Monsky-Washnitzer cohomology and (rational) overconvergent de Rham-Witt cohomology. Finally we define for a quasiprojective X an isomorphism between the rational overconvergent de Rham-Witt cohomology and the rigid cohomology.
OriginalsprogEngelsk
TidsskriftAnnales Scientifiques de l'Ecole Normale Superieure
Vol/bind44
Udgave nummer2
Antal sider197
ISSN0012-9593
StatusUdgivet - 2011

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