2 citations · 2 across the 1 of their papers we have counts for
5 papers
Pluripotential theory for tropical toric varieties and non-archimedean Monge-Ampére equations
José Ignacio Burgos Gil, Walter Gubler, Philipp Jell +1
Tropical toric varieties are partial compactifications of finite dimensional real vector spaces associated with rational polyhedral fans. We introduce plurisubharmonic functions an…
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…
Tropical cohomology with integral coefficients for analytic spaces
Philipp Jell
We study tropical Dolbeault cohomology for Berkovich analytic spaces, as defined by Chambert-Loir and Ducros. We provide a construction that lets us pull back classes in tropical c…
Real tropicalization and analytification of semialgebraic sets
Philipp Jell, Claus Scheiderer, Josephine Yu
Let be a real closed field with a nontrivial non-archimedean absolute value. We study a refined version of the tropicalization map, which we call real tropicalization map, that…
Constructing smooth and fully faithful tropicalizations for Mumford curves
Philipp Jell
The tropicalization of an algebraic variety X is a combinatorial shadow of X, which is sensitive to a closed embedding of X into a toric variety. Given a good embedding, the tropic…