English

The relative Hodge-Tate spectral sequence -- an overview

Algebraic Geometry 2020-03-10 v1 Number Theory

Abstract

We give in this note an overview of a recent work leading to a generalization of the Hodge-Tate spectral sequence to morphisms. The latter takes place in Faltings topos, but its construction requires the introduction of a relative variant of this topos which is the main novelty of our work.

Cite

@article{arxiv.2003.03790,
  title  = {The relative Hodge-Tate spectral sequence -- an overview},
  author = {Ahmed Abbes and Michel Gros},
  journal= {arXiv preprint arXiv:2003.03790},
  year   = {2020}
}

Comments

13 pages

R2 v1 2026-06-23T14:07:56.749Z