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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Takeshi Tsuji (2000)
Bulletin de la Société Mathématique de France
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Osamu Hyodo (1991)
Compositio Mathematica
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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.
Mark Kisin (2000)
Annales de l'institut Fourier
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We show that for a local, discretely valued field , with residue characteristic , and a variety over , the map to the outer automorphisms of the prime to geometric étale fundamental group of maps the wild inertia onto a finite image. We show that under favourable conditions depends only on the reduction of modulo a power of the maximal ideal of . The proofs make use of the theory of logarithmic schemes.
Kazuya Kato (1991)
Bulletin de la Société Mathématique de France
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Arthur Ogus (1995)
Compositio Mathematica
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