4 papers
Pure extension of the theta divisor over the moduli space of abelian varieties
Ana MarÃa Botero, José Ignacio Burgos Gil, David Holmes +1
A theta divisor on the universal principally polarised abelian variety can be extended to a compactification either by taking the Zariski closure, or by taking the unique extension…
Asymptotic Behavior of Tropical Rank Functions
Ana Maria Botero, Alex Küronya, Eduardo Vital
We show that the asymptotic behavior of the two main competing notions of rank of a linear series on a tropical curve is governed by asymptotic invariants, closely paralleling the…
Monge-Ampère measures on balanced polyhedral spaces
Ana MarÃa Botero, Enrica Mazzon, Léonard Pille-Schneider
We study classes of convex functions on balanced polyhedral spaces and establish various structural properties, including a compactness theorem for polyhedrally plurisubharmonic fu…
Equivariant non-archimedean Arakelov theory of toric varieties
Ana MarÃa Botero
We develop an equivariant version of the non-archimedean Arakelov theory of [BGS95] in the case of toric varieties. We define the equivariant analogues of the non-archimedean diffe…