68 citations · 244 across the 21 of their papers we have counts for
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Local heights of toric varieties over non-archimedean fields
Walter Gubler, Julius Hertel
We generalize results about local heights previously proved in the case of discrete absolute values to arbitrary non-archimedean absolute values of rank 1. First, this is done for…
Equidistribution over function fields
Walter Gubler
We prove equidistribution of a generic net of small points in a projective variety X over a function field K. For an algebraic dynamical system over K, we generalize this equidistr…
Non-archimedean canonical measures on abelian varieties
Walter Gubler
For a closed d-dimensional subvariety X of an abelian variety A and a canonically metrized line bundle L on A, Chambert-Loir has introduced measures on the B…
The Bogomolov conjecture for totally degenerate abelian varieties
Walter Gubler
We prove the Bogomolov conjecture for an abelian variety A over a function field which is totally degenerate at a place v. We adapt Zhang's proof of the number field case replacing…
Tropical varieties for non-archimedean analytic spaces
Walter Gubler
We associate to an analytic subvariety of a torus a tropical variety. In the first part, we generalize the results from tropical algebraic geometry to this non-archimedean analytic…