English

Ramification theory from homotopical point of view, II

Algebraic Geometry 2022-06-07 v1

Abstract

This is the second part of the paper which proves the compatibility of pushforward along a proper morphism of an \'{e}tale constructible sheaf and the pushforward of its characteristic cycle up to pp-torsion. In this second part, we show a result which is postponed from the first part because the technique of the proof is different. Especially, we use Zariski-Riemann spaces to show a certain alteration process terminates.

Keywords

Cite

@article{arxiv.2206.02402,
  title  = {Ramification theory from homotopical point of view, II},
  author = {Tomoyuki Abe},
  journal= {arXiv preprint arXiv:2206.02402},
  year   = {2022}
}