NEUKIRCH-UCHIDA THEOREM FOR PURELY INSEPARABLE FIELD EXTENSIONS

Matthieu Romagny (1) , Fabio Tonini , Lei Zhang

1 IRMAR - Institut de Recherche Mathématique de Rennes

In this paper we prove an analogue of the Neukirch-Uchida Theorem for purely inseparable eld extensions. The main tool we are using is the Tannakian description of the local Nori fundamental gerbe developed in [TZ].

Domaines: Géométrie algébrique [math.AG]

Matthieu Romagny, Fabio Tonini, Lei Zhang. NEUKIRCH-UCHIDA THEOREM FOR PURELY INSEPARABLE FIELD EXTENSIONS. 2017. ⟨hal-01670204⟩