25 citations · 66 across the 14 of their papers we have counts for
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math.AG2017★ 1 cited
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…
math.AG2017★ 25 cited
Lefschetz (1,1)-theorem in tropical geometry
Philipp Jell, Johannes Rau, Kristin Shaw
For a tropical manifold of dimension n we show that the tropical homology classes of degree (n-1, n-1) which arise as fundamental classes of tropical cycles are precisely those in…
math.AG2017
Tropical Hodge numbers of non-archimedean curves
Philipp Jell
We study the tropical Dolbeault cohomology of non-archimedean curves as defined by Chambert-Loir and Ducros. We give a precise condition for when this cohomology satisfies Poincaré…