2 citations · 4 across the 10 of their papers we have counts for
14 papers
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 María 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…
Pure extension of the theta divisor over the moduli space of abelian varieties
Ana María 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…
Equivariant Chern Classes of Toric Vector Bundles over a DVR and Bruhat--Tits Buildings
Ana María Botero, Kiumars Kaveh, Christopher Manon
We define equivariant Chern classes of a toric vector bundle over a proper toric scheme over a DVR. We provide a combinatorial description of them in terms of piecewise polynomial…
Equivariant non-archimedean Arakelov theory of toric varieties
Ana María 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…
On Chow groups of toric schemes over a DVR
Ana María Botero
We give an explicit combinatorial presentation of the Chow groups of a toric scheme over a DVR. As an application, we compute the Chow groups of several toric schemes over a DVR an…