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A Poincaré lemma for real-valued differential forms on Berkovich spaces

Jell, Philipp



Abstract

Real-valued differential forms on Berkovich analytic spaces were introduced by Chambert-Loir and Ducros in (Formes diff,rentielles r,elles et courants sur les espaces de Berkovich. arXiv:1204.6277, 2012) using superforms on polyhedral complexes. We prove a Poincar, lemma for these superforms and use it to also prove a Poincar, lemma for real-valued differential forms on Berkovich spaces. For ...

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