The Serre duality theorem for Riemann surfaces
type: Item
instance of: scholarly article
title: The Serre duality theorem for Riemann surfaces
zbMATH Open document ID: 0555.30030
DOI: 10.1155/S0161171284000405
author: Ranjan Roy
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/45458
review text: Let S be a compact Riemann surface of genus \(g\geq 2\), and suppose that G is the associated Fuchsian group acting on the upper half plane U. In this paper the author gives a proof of the Serre duality theorem which avoids sheaf theoretical methods. The method of proof is to use Fuchsian group methods. As noted by the author the main ideas for the proof are contained in the text of \textit{I. Kra} (Automorphic forms and Kleinian groups (1972; Zbl 0253.30015).
Mathematics Subject Classification ID: 30F10
Mathematics Subject Classification ID: 30F35
zbMATH DE Number: 3884456
zbMATH Keywords: cohomology groups
zbMATH Keywords: Serre duality theorem
reviewed by: Thomas A. Metzger
MaRDI profile type: Publication
Recommended article: Q4457699
Recommended article: Riemann-Roch theorem and Kodaira-Serre duality
Recommended article: A Birkhoff theorem for Riemann surfaces
Recommended article: A theorem of differential mappings of Riemann surfaces
Recommended article: Serre--Taubes duality for pseudoholomorphic curves
Recommended article: Covering theorems for Riemann surfaces
Recommended article: Q3582258
Recommended article: The Self-Duality Equations on a Riemann Surface
Recommended article: Generalizations of Picard's Theorem for Riemann Surfaces
description: scientific article; zbMATH DE number 3884456