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- W3212307244 abstract "We introduce real-valued $(p,q)$-forms on weighted metric graphs with boundary similar to Lagerberg forms on polyhedral spaces. We compute the Dolbeault cohomology and prove Poincar'e duality. Using Thuillier's thesis, the skeleton of a strictly semistable formal curve is canonically a weighted metric graph with boundary. We use that and our companion paper on weakly smooth forms to compute the Dolbeault cohomology for weakly smooth forms on any non-Archimedean compact rig-smooth analytic curve $X$, and prove Poincar'e duality when $X$ is proper." @default.
- W3212307244 created "2021-11-22" @default.
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- W3212307244 date "2021-11-10" @default.
- W3212307244 modified "2023-09-27" @default.
- W3212307244 title "Dolbeault Cohomology of Graphs and Berkovich Curves" @default.
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