Parity in Bloch’s conductor formula in even dimension
Takeshi Saito1
1Department of Mathematical Sciences, University of Tokyo Tokyo 153-8914 Japan
Journal de théorie des nombres de Bordeaux, Volume 16 (2004) no. 2, pp. 403-421

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.

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.

Published online:
DOI: 10.5802/jtnb.453

Takeshi Saito  1

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