English

Ramification and nearby cycles for l-adic sheaves on relative curves

Algebraic Geometry 2013-07-08 v1

Abstract

Deligne and Kato proved a formula computing the dimension of the nearby cycles complex of an l-adic sheaf on a relative curve over an excellent strictly henselian trait. In this article, we reprove this formula using Abbes-Saito's ramification theory.

Keywords

Cite

@article{arxiv.1307.1638,
  title  = {Ramification and nearby cycles for l-adic sheaves on relative curves},
  author = {Haoyu Hu},
  journal= {arXiv preprint arXiv:1307.1638},
  year   = {2013}
}

Comments

36 pages