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