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- W2607168998 abstract "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: see text] be the space of nondegenerate holomorphic maps [Formula: see text]. Take a holomorphic 1-form [Formula: see text] on [Formula: see text], not identically zero, and let [Formula: see text] send a map [Formula: see text] to the cohomology class of [Formula: see text]. Our main theorem states that [Formula: see text] is a Serre fibration. This result subsumes the 1971 theorem of Kusunoki and Sainouchi that both the periods and the divisor of a holomorphic form on [Formula: see text] can be prescribed arbitrarily. It also subsumes two parametric h-principles in minimal surface theory proved by Forstnerič and Lárusson in 2016." @default.
- W2607168998 created "2017-04-28" @default.
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- W2607168998 date "2017-08-01" @default.
- W2607168998 modified "2023-10-14" @default.
- W2607168998 title "Representing de Rham cohomology classes on an open Riemann surface by holomorphic forms" @default.
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- W2607168998 doi "https://doi.org/10.1142/s0129167x17400043" @default.
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