On the conductor formula of Bloch

Kazuya Kato; Takeshi Saito

Publications Mathématiques de l'IHÉS (2004)

  • Volume: 100, page 5-151
  • ISSN: 0073-8301

Abstract

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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.

How to cite

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Kato, Kazuya, and Saito, Takeshi. "On the conductor formula of Bloch." Publications Mathématiques de l'IHÉS 100 (2004): 5-151. <http://eudml.org/doc/104203>.

@article{Kato2004,
abstract = {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.},
author = {Kato, Kazuya, Saito, Takeshi},
journal = {Publications Mathématiques de l'IHÉS},
language = {eng},
pages = {5-151},
publisher = {Springer},
title = {On the conductor formula of Bloch},
url = {http://eudml.org/doc/104203},
volume = {100},
year = {2004},
}

TY - JOUR
AU - Kato, Kazuya
AU - Saito, Takeshi
TI - On the conductor formula of Bloch
JO - Publications Mathématiques de l'IHÉS
PY - 2004
PB - Springer
VL - 100
SP - 5
EP - 151
AB - 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.
LA - eng
UR - http://eudml.org/doc/104203
ER -

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