68 citations · 244 across the 21 of their papers we have counts for
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A tropical formula for non-Archimedean local heights
José Ignacio Burgos Gil, Walter Gubler, Klaus Künnemann
We introduce delta-forms on tropical toric varieties generalizing the construction of Mihatsch for . These delta-forms will be used to define the star-product with Green funct…
Classically psh and pluriharmonic functions on Berkovich spaces
Walter Gubler, Joseph Rabinoff
First we extend the theory of subharmonic functions on smooth strictly -analytic curves from Thuillier's thesis to the case of possibly singular analytic curves over a non-archi…
On semipositive piecewise linear functions in non-archimedean analytic geometry
Walter Gubler, Joseph Rabinoff
In this paper, we generalize results on Zhang's semipositive model metrics from the algebraic setting to strictly analytic spaces over a non-trivially valued non-Archimedean field.…
On the non-archimedean Monge-Ampère equation in mixed characteristic
Yanbo Fang, Walter Gubler, Klaus Künnemann
Let X be a smooth projective variety over a complete discretely valued field of mixed characteristic. We solve non-archimedean Monge-Ampère equations on X assuming resolution and e…
Dolbeault Cohomology of Graphs and Berkovich Curves
Walter Gubler, Philipp Jell, Joseph Rabinoff
We introduce real-valued -forms on weighted metric graphs with boundary similar to Lagerberg forms on polyhedral spaces. We compute the Dolbeault cohomology and prove Poinca…
Forms on Berkovich spaces based on harmonic tropicalizations
Walter Gubler, Philipp Jell, Joseph Rabinoff
We introduce tropical skeletons for Berkovich spaces based on results of Ducros. Then we study harmonic functions on good strictly analytic spaces over a non-trivially valued non-A…