Personal tools
You are here: Home Publications Cycle class of a section and pro-nilpotent completion of the fundamental group

Cycle class of a section and pro-nilpotent completion of the fundamental group

Hélène Esnault and Olivier Wittenberg

Number 22
Author Hélène Esnault
Project A01
Year 2008

We define the class in étale cohomology of a section of the Galois group of the base field k into the arithmetic fundamental group of a variety defined over k. An étale adaptation of Beilinson's geometrization of the pronilpotent completion of the topological fundamental group allows us to lift this class in a suitable cohomology group.

More information about this publication…

Document Actions