On localizations of the characteristic classes of 1-adic sheaves and conductor formula in characteristic p>0
On localizations of the characteristic classes of 1-adic sheaves and conductor formula in characteristic p>0
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1-adic滑轮特征类的定位和特征p>0时的导体公式
DOI：
10.1007/s00209-010-0743-0
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发表时间：
2011
影响因子：
0.8
通讯作者：
Takahiro Tsushima
中科院分区：
文献类型：
--
作者：
Toshio Yamagishi;Hirofumi Hashimoto;Karen S.Cook;Toko Kiyonari;Mizuho Shinada;Nobuhiro Mifune;Keigo Inukai;Haruto Takagishi;Yutaka Horita;Yang Li;三船恒裕;三船恒裕・Dora Simunovic ・ 山岸俊男;三船恒裕;三船恒裕・山岸俊男;三船恒裕・山岸俊男;三船恒裕・中西大輔;Takahiro Tsushima;Takahiro Tsushima
Abbe，Kato和Saito将Grothendieck-Ogg-Shafarevich公式推广到任意维度(Kato和Saito在Ann中)。数学课。168：33-96,2008；阿比斯和斋藤的发明。数学课。168：567-612,2007)。本文在假设奇点的强分解的前提下，证明了Abbe和Saito(发明Math168：567-612,2007)利用ℓ-adacySheaf的特征类证明的一个公式的局部化形式。我们证明了Grothendieck(Formule de Lefschetz，ExposéIII，SGA 5等)中证明的Lefschetz-Verdier迹公式的一个局部化版本。《数学笔记》，第589卷，第372-406页，Exp.施普林格，柏林，1977[Théorème 4.4])。作为应用，我们证明了任意维等特征情形下的导体公式。
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 anℓ-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.