Ramification theory for varieties over a perfect field

• 成果类型: Article
• 署名作者: Kato, Kazuya; Saito, Takeshi
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2008.168.33
• 发表日期: 2008
• 页码: 33-96
• 关键词: verdier trace formula; arithmetic surfaces; d-modules; REPRESENTATIONS; conjecture; conductor; schemes; CURVES; cycles

摘要

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.