Geodesic
Ramification theory for varieties over a perfect field
Kazuya Kato1 ; Takeshi Saito2
1 Department of Mathematics<br/>Kyoto University<br/>606-8502 Kyoto <br/>Japan
2 Department of Mathematical Sciences<br/>University of Tokyo<br/>153-8914 Tokyo <br/>Japan
Annals of mathematics, Tome 168 (2008) no. 1, pp. 33-96.

Voir la notice de l'article provenant de la source Annals of Mathematics website

For an $\ell$-adic sheaf on a variety of arbitrary dimension over a perfect field, we define the Swan class measuring the wild ramification as a $0$-cycle class supported on the ramification locus. We prove a Lefschetz trace formula for open varieties and a generalization of the Grothendieck-Ogg-Shararevich formula using the Swan class.
DOI : 10.4007/annals.2008.168.33

Kazuya Kato 1 ; Takeshi Saito 2

1 Department of Mathematics<br/>Kyoto University<br/>606-8502 Kyoto <br/>Japan
2 Department of Mathematical Sciences<br/>University of Tokyo<br/>153-8914 Tokyo <br/>Japan 
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Kazuya Kato; Takeshi Saito. Ramification theory for varieties over a perfect field. Annals of mathematics, Tome 168 (2008) no. 1, pp. 33-96. doi : 10.4007/annals.2008.168.33. http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.168.33/

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