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Preprint Number 1169

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1169. Damian Rössler
On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic II
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Submission date: 23 February 2017

Abstract:

Let A be an abelian variety over the function field K of a curve over a finite field. We provide several conditions ensuring that A(K^{perf}) is finitely generated. This gives partial answers to questions of Scanlon and Ziegler on the one hand and Esnault and Langer on the other. We also describe the basics of a theory (used to prove our results) relating the Harder-Narasimhan filtration of vector bundles and the structure of finite flat group schemes over projective curves over finite fields.

Mathematics Subject Classification: 14K05

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Full text arXiv 1702.07142: pdf, ps.


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