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math.AG2020★ 4 cited
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…
math.AG2005★ 2 cited
Arithmetic characteristic classes of automorphic vector bundles
J. I. Burgos Gil, J. Kramer, U. Kuehn
We develop a theory of arithmetic characteristic classes of (fully decomposed) automorphic vector bundles equipped with an invariant hermitian metric. These characteristic classes…