On Some Holomorphic Cohomological Equations

On Some Holomorphic Cohomological Equations

Let Σ be a non compact Riemann surface and an automorphism acting freely and properly such that the quotient M = Σ/ γ is a non compact Riemann surface. Using the fact that Σ and M are Stein manifolds, we prove that, for any holomorphic function and any , there exists a holomorphic function which is...

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Veröffentlicht in:Resultate der Mathematik 2013-02, Vol.63 (1-2), p.329-334
1. Verfasser: Alaoui, Aziz El Kacimi
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:Let Σ be a non compact Riemann surface and an automorphism acting freely and properly such that the quotient M = Σ/ γ is a non compact Riemann surface. Using the fact that Σ and M are Stein manifolds, we prove that, for any holomorphic function and any , there exists a holomorphic function which is a solution of the holomorphic cohomological equation .
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-011-0201-2