Relative compactifications of semiabelian Néron models, I

Kentaro Mitsui, Iku Nakamura

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