For monocritical arithmetically T-effective toric metrics on semiabelian compactifications, generic small sequences equidistribute and minimal-height subvarieties are special.
G´ eom´ etrie d’Arakelov et hauteurs canoniques sur des vari´ et´ es semi-ab´ eliennes
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Equidistribution for semiabelian varieties over number fields
For monocritical arithmetically T-effective toric metrics on semiabelian compactifications, generic small sequences equidistribute and minimal-height subvarieties are special.