Ramification of local fields with imperfect residue fields. II.
Abbes, Ahmed, Saito, Takeshi (2003)
Documenta Mathematica
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Abbes, Ahmed, Saito, Takeshi (2003)
Documenta Mathematica
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Osamu Hyodo (1991)
Compositio Mathematica
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Rémi Shankar Lodh (2011)
Annales de l’institut Fourier
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Let be a field of characteristic zero complete for a discrete valuation, with perfect residue field of characteristic , and let be the valuation ring of . We relate the log-crystalline cohomology of the special fibre of certain affine -schemes with good or semi-stable reduction to the Galois cohomology of the fundamental group of the geometric generic fibre with coefficients in a Fontaine ring constructed from . This is based on Faltings’ theory of almost étale extensions. ...
Bloch, Spencer, Esnault, Hélène (2000)
Annals of Mathematics. Second Series
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Ogus, Arthur (2003)
Documenta Mathematica
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Takeshi Tsuji (2000)
Bulletin de la Société Mathématique de France
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Kazuya Kato, Takeshi Saito (2004)
Publications Mathématiques de l'IHÉS
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In [6], S. Bloch conjectures a formula for the Artin conductor of the ℓ-adic etale cohomology of a regular model of a variety over a local field and proves it for a curve. The formula, which we call the conductor formula of Bloch, enables us to compute the conductor that measures the wild ramification by using the sheaf of differential 1-forms. In this paper, we prove the formula in arbitrary dimension under the assumption that the reduced closed fiber has normal crossings.
Kazuya Kato (1991)
Bulletin de la Société Mathématique de France
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José Ignacio Burgos (1994)
Compositio Mathematica
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