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Rational points of the group of components of a Neron model

Siegfried Bosch·Qing Liu
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Abstract

Let A_K be an abelian variety over a discrete valuation field K. Let A be the Neron model of A_K over the ring of integers O_K of K and A_k its special fibre. We study the set of rational points of the group of components ϕ_A of A_k. In particular, we look at the cases where A_K is a Jacobian or where A_K is an abelian variety having semi-stable reduction. We also consider algebraic tori over K instead of abelian varieties.

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Siegfried Bosch, Qing Liu. 1998-04-14. Rational points of the group of components of a Neron model. https://doi.org/10.1007/s002290050140

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