On the algebraic fundamental group of smooth varieties in characteristic p>0

2010/03/18 by Hélène Esnault, Esnault, Hélène, Amit Hogadi +1
Mathematics · #14F35 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14F35

paper · pdf · doi:10.48550/arxiv.1003.3599

Some inaccuracies removed.

openalex publication_date 2010/03/18 · arxiv created 2010/04/10 · arxiv updated 2010/04/13 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We define an analog in characteristic p>0 of the proalgebraic completion of the topological fundamental group of a complex manifold.

Related

• The fundamental group is not a derived invariant
• An obstruction to lifting to characteristic 0
• On flat bundles in characteristic 0 and p>0
• Fundamental groups of proper varieties are finitely presented
• On the fundamental group of an abelian cover