Relative compactifications of semiabelian Néron models, I

Kentaro Mitsui, Iku Nakamura

Let $R$ be a complete discrete valuation ring, $k(\hat{I}\cdot )$ its fraction field, $S:=\mathrm{Spec}R$, $(G_{\hat{I}}\cdot ,{\mathcal{L}}_{\hat{I}}\cdot )$ a polarized abelian variety over $k(\hat{I}\cdot )$ with ${\mathcal{L}}_{\hat{I}}\cdot$…