Geodesic
On the conductor formula of Bloch
Publications Mathématiques de l'IHÉS, Tome 100 (2004), pp. 5-151

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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.

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     author = {Kato, Kazuya and Saito, Takeshi},
     title = {On the conductor formula of {Bloch}},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {5--151},
     publisher = {Springer},
     volume = {100},
     year = {2004},
     doi = {10.1007/s10240-004-0026-6},
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     zbl = {1099.14009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10240-004-0026-6/}
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Kato, Kazuya; Saito, Takeshi. On the conductor formula of Bloch. Publications Mathématiques de l'IHÉS, Tome 100 (2004), pp. 5-151. doi: 10.1007/s10240-004-0026-6

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