Overconvergent de Rham-Witt cohomology

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Overconvergent de Rham-Witt cohomology. / Davis, Christopher James; Langer, Andreas; Zink, Thomas.

I: Annales Scientifiques de l'Ecole Normale Superieure, Bind 44, Nr. 2, 2011.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Davis, CJ, Langer, A & Zink, T 2011, 'Overconvergent de Rham-Witt cohomology', Annales Scientifiques de l'Ecole Normale Superieure, bind 44, nr. 2.

APA

Davis, C. J., Langer, A., & Zink, T. (2011). Overconvergent de Rham-Witt cohomology. Annales Scientifiques de l'Ecole Normale Superieure, 44(2).

Vancouver

Davis CJ, Langer A, Zink T. Overconvergent de Rham-Witt cohomology. Annales Scientifiques de l'Ecole Normale Superieure. 2011;44(2).

Author

Davis, Christopher James ; Langer, Andreas ; Zink, Thomas. / Overconvergent de Rham-Witt cohomology. I: Annales Scientifiques de l'Ecole Normale Superieure. 2011 ; Bind 44, Nr. 2.

Bibtex

@article{742cf3283a9f4d01b4c84d31210fb283,
title = "Overconvergent de Rham-Witt cohomology",
abstract = "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.",
author = "Davis, {Christopher James} and Andreas Langer and Thomas Zink",
year = "2011",
language = "English",
volume = "44",
journal = "Annales Scientifiques de l'Ecole Normale Superieure",
issn = "0012-9593",
publisher = "Elsevier France Editions Scientifiques et Medicales",
number = "2",

}

RIS

TY - JOUR

T1 - Overconvergent de Rham-Witt cohomology

AU - Davis, Christopher James

AU - Langer, Andreas

AU - Zink, Thomas

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

M3 - Journal article

VL - 44

JO - Annales Scientifiques de l'Ecole Normale Superieure

JF - Annales Scientifiques de l'Ecole Normale Superieure

SN - 0012-9593

IS - 2

ER -

ID: 64386596