The Serre duality theorem for Reimann surfaces

Ranjan Roy

International Journal of Mathematics and Mathematical Sciences, 1984, vol. 7, 1-6

Abstract:

Given a Riemann surface S , there exists a finitely generated Fuchsian group G of the first kind acting on the upper half plane U , such that S ≅ U / G . This isomorphism makes it possible to use Fuchsian group methods to prove theorems about Riemann surfaces. In this note we give a proof of the Serre duality theorem by Fuchsian group methods which is technically simpler than proofs depending on sheaf theoretic methods.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:183973

DOI: 10.1155/S0161171284000405

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