Ramification theory for varieties over a perfect field

• Autores: Kazuya Kato, Takeshi Saito
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 168, Nº 1, 2008, págs. 33-96
• Idioma: inglés
• DOI: 10.4007/annals.2008.168.33
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• Resumen

  • For an l-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.