Refined characteristic class and conductor formula

2014/08/26 by Haoyu Hu, Hu, Haoyu
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.1408.6254

33 pages. arXiv admin note: text overlap with arXiv:1007.3873 by other authors

arxiv created 2014/08/26 · openalex publication_date 2014/08/26 · arxiv updated 2014/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we prove a conductor formula in a geometric situation that generalizes the Grothendieck-Ogg-Shafarevich formula. Our approach uses the ramification theory of Abbes and Saito, and relies on Tsushima's refined characteristic class.

Citations

• Ramification and cleanliness

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