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math.AG2016★ 9 cited
Poincaré duality for tropical Dolbeault cohomology of non-archimedean Mumford curves
Philipp Jell, Veronika Wanner
We calculate the tropical Dolbeault cohomology for the analytifications of the projective line and Mumford curves over non-archimedean fields. We show that the cohomology satisfies…
math.AG2016★ 18 cited
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…