Introduction to the Resolution of d ′d ′′ for the Supercurrents in the Non-archimedean Frame

DOI10.1007/978-3-030-57336-2_16zbMath1460.32045OpenAlexW3110240926MaRDI QIDQ5855881

Ibrahima Hamidine, Salomon Sambou

Publication date: 22 March 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-57336-2_16

zbMATH Keywords

de Rham cohomologyDolbeault cohomologyBerkovich spacesupercurrents\(d\)-operator\(d'\)-operator

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Currents (32U40) Non-Archimedean analysis (32P05)

Cites Work

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• A Poincaré lemma for real-valued differential forms on Berkovich spaces
• Super currents and tropical geometry
• Smooth \(p\)-adic analytic spaces are locally contractible
• Étale cohomology for non-Archimedean analytic spaces
• Resolution of \(\overline{\partial}\) for continuable currents defined in a circular domain.
• Berkovich spaces on \(\mathbb Z\): local study
• A guide to tropicalizations
• Espaces de Stein et faisceaux localement libres.
• Résolution du ∂- pour les Courants Prolongeables

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