11 citations · 15 across the 2 of their papers we have counts for
5 papers
Non-Archimedean volumes of metrized nef line bundles
Sébastien Boucksom, Walter Gubler, Florent Martin
Let be a line bundle on a proper, geometrically reduced scheme over a non-trivially valued non-Archimedean field . Roughly speaking, the non-Archimedean volume of a cont…
Differentiability of relative volumes over an arbitrary non-Archimedean field
Sébastien Boucksom, Walter Gubler, Florent Martin
Given an ample line bundle on a geometrically reduced projective scheme defined over an arbitrary non-Archimedean field, we establish a differentiability property for the relat…
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…
On Zhang's semipositive metrics
Walter Gubler, Florent Martin
Zhang introduced semipositive metrics on a line bundle of a proper variety. In this paper, we generalize such metrics for a line bundle of a paracompact strictly -analytic s…
Differentiability of non-archimedean volumes and non-archimedean Monge-Ampère equations (with an appendix by Robert Lazarsfeld)
José Ignacio Burgos Gil, Walter Gubler, Philipp Jell +2
Let be a normal projective variety over a complete discretely valued field and a line bundle on . We denote by the analytification of in the sense of…