caa a22 4500 445836822 CHVBK 20180317145332.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00209-010-0743-0 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0743-0 Tsushima Takahiro Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, 153-8914, Tokyo, Japan aut On localizations of the characteristic classes of ℓ -adic sheaves and conductor formula in characteristic p >0 [Elektronische Daten] [Takahiro Tsushima] Abbes, Kato and Saito generalize the Grothendieck-Ogg-Shafarevich formula to an arbitrary dimension (Kato and Saito in Ann. Math. 168:33-96, 2008; Abbes and Saito in Invent. Math. 168:567-612, 2007). In this paper, assuming the strong resolution of singularities, we prove a localized version of a formula proved using the characteristic class of an ℓ-adic sheaf by Abbes and Saito (Invent Math 168:567-612, 2007). We prove a localized version of the Lefschetz-Verdier trace formula proved in Grothendieck (Formule de Lefschetz, exposé III, SGA 5, Lect. Notes Math., vol 589, pp 372-406, Exp. X, Springer, Berlin, 1977 [Théorème 4.4]). As an application, we prove a conductor formula in an arbitrary dimension in the equal characteristic case. Springer-Verlag, 2010 Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 411-447 0025-5874 269:1-2<411 2011 269 209 https://doi.org/10.1007/s00209-010-0743-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0743-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Tsushima Takahiro Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, 153-8914, Tokyo, Japan aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 411-447 0025-5874 269:1-2<411 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer