3 papers
math.AG2025
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…
math.AG2025
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.…
math.AG2025
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…