On the S-fundamental group scheme

Details On the S-fundamental group scheme On the S-fundamental group scheme

2009-05-28

arxiv.org/abs/0905.4600v2

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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