Refined characteristic class and conductor formula

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• 作者：Haoyu Hu
• 关键词：Refined characteristic class ; Ramification ; Characteristic cycle ; Conductor formula ; Primary 14F20 ; Secondary 11S15
• 刊名：Mathematische Zeitschrift
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：281
• 期：1-2
• 页码：571-609
• 全文大小：833 KB
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• 作者单位：Haoyu Hu (1)
  
  1. IHES, Le Bois-Marie, 35 Rue de Chartres, 91440, Bures-sur-Yvette, France
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1823

文摘

In this article, we prove a conductor formula in a geometric situation which is an analogue of the Grothendieck–Ogg–Shafarevich formula. Our approach uses the ramification theory of Abbes and Saito, and relies on Tsushima’s refined characteristic class.