Refined characteristic class and conductor formula

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.

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