nLab
Kummer-Artin-Schreier-Witt exact sequence

Contents

Idea

A joint generalization of the concept of Kummer exact sequence and of Artin-Schreier exact sequence. A review is in Mezard-Romagny-Tossici 11, section 1.

The case n=1n =1 (Kummer-Artin-Schreier sequence) is due to (Waterhouse 87) and independently (Sekiguchi-Oort-Suwa 89). The general case is due to (Sekiguchi-Suwa 94, Sekiguchi-Suwa 99, Sekiguchi-Suwa 01) and accordingly also referred to as Sekiguchi-Suwa theory (Mezard-Romagny-Tossici 11).

References