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Abstract: The S-fundamental group scheme is the group scheme corresponding to theTannaka category of numerically flat vector bundles. We use determinant linebundles to prove that the S-fundamental group of a product of two completevarieties is a product of their S-fundamental groups as conjectured by V. Mehtaand the author. We also compute the abelian part of the S-fundamental groupscheme and the S-fundamental group scheme of an abelian variety or a varietywith trivial etale fundamental group.



Autor: Adrian Langer

Fuente: https://arxiv.org/







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