On localizations of characteristic classes of l-adic sheaves of rank 1

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230323The Grothendieck-Ogg-Shafarevich formula is generalized to any dimensional scheme by Abbes-Kato-Saito. In this paper, we introduce two methods of localization of the characteristic classes for sheaves of rank 1 and compare them. As a corollary of this comparison, we obtain a refinement of a formula proved by Abbes-Saito without denominator for a smooth sheaf of rank 1 which is clean with respect to the boundary.12 pagesNumber TheoryAlgebraic Geometry14F20;11S15On localizations of characteristic classes of l-adic sheaves of rank 1text