Overconvergent de Rham-Witt cohomology
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- ODRW
Submitted manuscript, 637 KB, PDF document
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 as a suitable subcomplex 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 of overconvergent Witt-vectors. If X is affine one proves that there is an 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.
Original language | English |
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Journal | Annales Scientifiques de l'Ecole Normale Superieure |
Volume | 44 |
Issue number | 2 |
Number of pages | 197 |
ISSN | 0012-9593 |
Publication status | Published - 2011 |
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