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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.…