Parity in Bloch’s conductor formula in even dimension
Saito, Takeshi1
1 Department of Mathematical Sciences, University of Tokyo Tokyo 153-8914 Japan
Journal de théorie des nombres de Bordeaux, Tome 16 (2004) no. 2, pp. 403-421.

Pour une variété sur un corps local, Bloch a proposé une formule conjecturale pour la somme alternée du conducteur d’Artin de la cohomologie ℓ-adique. On démontre que la formule modulo 2 est vraie dans le cas où la dimension de la variété est paire.

For a variety over a local field, Bloch proposed a conjectural formula for the alternating sum of Artin conductor of ℓ-adic cohomology. We prove that the formula is valid modulo 2 if the variety has even dimension.

DOI : 10.5802/jtnb.453
Saito, Takeshi 1

1 Department of Mathematical Sciences, University of Tokyo Tokyo 153-8914 Japan 
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Saito, Takeshi. Parity in Bloch’s conductor formula in even dimension. Journal de théorie des nombres de Bordeaux, Tome 16 (2004) no. 2, pp. 403-421. doi : 10.5802/jtnb.453. https://numdam.org/articles/10.5802/jtnb.453/

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