Gauss-Manin stratification and stratified fundamental group schemes

Abstract

We defined the Gauß-Manin stratification of a stratified bundle with respect to a smooth morphism and use it to study the homotopy sequence of stratified fundamental group schemes.

14 pages, the proof of Prop. 2.8 is corrected. To appear in Annales de l'Institut Fourier

References in corpus (2)

• On Nori's Fundamental Group Scheme
• Gauß-Manin connection and Tannaka duality

Cited by in corpus (2)

• Tannakian duality over Dedekind rings and applications
• Simply connected varieties in characteristic $p>0$