Refined characteristic class and conductor formula
Haoyu Hu
TL;DR
This paper generalizes the Grothendieck-Ogg-Shafarevich conductor formula using Abbes and Saito's ramification theory and Tsushima's refined characteristic class in a geometric setting.
Contribution
It introduces a generalized conductor formula in a geometric context, expanding the applicability of classical ramification and characteristic class theories.
Findings
Proved a new conductor formula in a geometric setting.
Extended the Grothendieck-Ogg-Shafarevich formula.
Utilized Abbes and Saito's ramification theory and Tsushima's refined characteristic class.
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.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology