Pour une variété sur un corps local, Bloch a proposé une formule conjecturale pour la somme alternée du conducteur d’Artin de la cohomologie -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 -adic cohomology. We prove that the formula is valid modulo 2 if the variety has even dimension.
@article{JTNB_2004__16_2_403_0,
author = {Saito, Takeshi},
title = {Parity in {Bloch{\textquoteright}s} conductor formula in even dimension},
journal = {Journal de Th\'eorie des Nombres de Bordeaux},
pages = {403--421},
publisher = {Universit\'e Bordeaux 1},
volume = {16},
number = {2},
year = {2004},
doi = {10.5802/jtnb.453},
mrnumber = {2143561},
zbl = {02188524},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/jtnb.453/}
}
TY - JOUR AU - Saito, Takeshi TI - Parity in Bloch’s conductor formula in even dimension JO - Journal de Théorie des Nombres de Bordeaux PY - 2004 DA - 2004/// SP - 403 EP - 421 VL - 16 IS - 2 PB - Université Bordeaux 1 UR - http://archive.numdam.org/articles/10.5802/jtnb.453/ UR - https://www.ams.org/mathscinet-getitem?mr=2143561 UR - https://zbmath.org/?q=an%3A02188524 UR - https://doi.org/10.5802/jtnb.453 DO - 10.5802/jtnb.453 LA - en ID - JTNB_2004__16_2_403_0 ER -
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. http://archive.numdam.org/articles/10.5802/jtnb.453/
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