English

Compairing categories of Lubin-Tate $(\varphi_L,\Gamma_L)$-modules

Number Theory 2023-01-30 v1

Abstract

In the Lubin-Tate setting we compare different categories of (φL,ΓL)(\varphi_L,\Gamma_L)-modules over various perfect or imperfect coefficient rings. Moreover, we study their associated Herr-complexes. Finally, we show that a Lubin Tate extension gives rise to a weakly decompleting, but not decompleting tower in the sense of Kedlaya and Liu.

Keywords

Cite

@article{arxiv.2301.11617,
  title  = {Compairing categories of Lubin-Tate $(\varphi_L,\Gamma_L)$-modules},
  author = {Peter Schneider and Otmar Venjakob},
  journal= {arXiv preprint arXiv:2301.11617},
  year   = {2023}
}