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A tropical approach to nonarchimedean Arakelov geometry

Gubler, Walter ; Künnemann, Klaus



Abstract

Chambert-Loir and Ducros have recently introduced a theory of real valued differential forms and currents on Berkovich spaces. In analogy to the theory of forms with logarithmic singularities, we enlarge the space of differential forms by so called delta-forms on the nonarchimedean analytification of an algebraic variety. This extension is based on an intersection theory for tropical cycles with ...

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