
TL;DR
This paper introduces a new fundamental group scheme for varieties over algebraically closed fields of positive characteristic, extending some of Simpson's results and establishing Lefschetz theorems.
Contribution
It defines a novel fundamental group scheme in positive characteristic and explores its properties and applications, generalizing prior complex-analytic results.
Findings
Introduces a new fundamental group scheme for positive characteristic varieties
Proves Lefschetz type theorems for the new group scheme
Extends results of C. Simpson to positive characteristic settings
Abstract
We introduce a new fundamental group scheme for varieties defined over an algebraically closed field of positive characteristic and we use it to study generalization of some of C. Simpson's results to positive characteristic. We also study the properties of this group and we prove Lefschetz type theorems.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
