Riemann-Roch theorem and Kodaira-Serre duality-Reference-Cited by-同舟云学术

Riemann-Roch theorem and Kodaira-Serre duality

Published:2022-06-01 Issue:1 Volume:58 Page:4-17
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Lesfari A.¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences , University of Chouaïb Doukkali , B.P. 20 , El-Jadida , Morocco .

Abstract

Abstract The Riemann-Roch theorem is of utmost importance and a vital tool to the fields of complex analysis and algebraic geometry, specifically in the algebraic geometric theory of compact Riemann surfaces. It tells us how many linearly independent meromorphic functions there are having certain restrictions on their poles. The aim of this paper is to give two proofs of this important theorem and explore some of its numerous consequences. As an application, we compute the genus of some interesting algebraic curves or Riemann surfaces.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/awutm-2022-0002

Reference9 articles.

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