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arXiv · 0912.2623

On the S-fundamental group scheme II

Adrian Langer
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Abstract

The S-fundamental group scheme is the group scheme corresponding to the Tannaka category of numerically flat vector bundles. We use determinant line bundles to prove that the S-fundamental group of a product of two complete varieties is a product of their S-fundamental groups as conjectured by V. Mehta and the author. We also compute the abelian part of the S-fundamental group scheme and the S-fundamental group scheme of an abelian variety or a variety with trivial etale fundamental group.

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Adrian Langer. 2011-08-31. On the S-fundamental group scheme II. https://doi.org/10.1017/s1474748012000011

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