34 citations · 39 across the 4 of their papers we have counts for
5 papers
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…
A comparison of positivity in complex and tropical toric geometry
J. I. Burgos Gil, W. Gubler, P. Jell +1
Given a smooth complex toric variety we will compare real Lagerberg forms and currents on its tropicalization with invariant complex forms and currents on the toric variety. Our ma…
Continuity of Plurisubharmonic Envelopes in Non-Archimedean Geometry and Test Ideals (with an Appendix by José Ignacio Burgos Gil and Martín Sombra)
Walter Gubler, Philipp Jell, Klaus Künnemann +1
Let L be an ample line bundle on a smooth projective variety X over a non-archimedean field K. For a continuous metric on L, we show in the following two cases that the semipositiv…
Positivity properties of metrics and delta-forms
Walter Gubler, Klaus Kuennemann
In previous work, we have introduced delta-forms on the Berkovich analytification of an algebraic variety in order to study smooth or formal metrics via their associated Chern delt…
A tropical approach to non-archimedean Arakelov theory
Walter Gubler, Klaus Kuennemann
Chambert-Loir and Ducros have recently introduced a theory of real valued differential forms and currents on Berkovich spaces. In analogy to the theory of forms with logarithmic si…