论文标题

互惠滑轮的后果理论,III,Abbes-Saito公式

Ramification theory for reciprocity sheaves, III, Abbes-Saito formula

论文作者

Rülling, Kay, Saito, Shuji

论文摘要

我们通过模仿Abbes和(TakeShi)Saito来研究有限的典型典型群体下的Torsors的分支,从而给出了互惠滑轮的动机分支过滤的新几何表征。这种新的特征用于定义互惠滑轮的特征形式。我们在伪理性的概念上获得了有关某些共同体学群体的代表性的问题,这些问题是由Kahn-Miyazaki-saito-yamazaki引入的三角形类别中的互惠系带。

We give a new geometric characterization of the motivic ramification filtration of reciprocity sheaves, by imitating a method used by Abbes and (Takeshi) Saito to study the ramification of torsors under finite étale groups. This new characterization is used to define characteristic forms for reciprocity sheaves. We obtain applications on pseudo-rational singularities and on questions regarding the representability of certain cohomology groups of reciprocity sheaves in the triangulated category of motives with modulus introduced by Kahn-Miyazaki-Saito-Yamazaki.

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