On the S-fundamental group scheme

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.

37 pages; final version will appear in Ann. Inst. Fourier 61 (2011)

References in corpus (1)

• Semistable principal G-bundles in positive characteristic

Cited by in corpus (8)

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