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Representing de Rham cohomology classes on an open Riemann surface by holomorphic forms

Representing de Rham cohomology classes on an open Riemann surface by holomorphic forms

Let [Formula: see text] be a connected open Riemann surface. Let [Formula: see text] be an Oka domain in the smooth locus of an analytic subvariety of [Formula: see text], [Formula: see text], such that the convex hull of [Formula: see text] is all of [Formula: see text]. Let [Formula: …