Riemann–Roch theorem
id:
riemann-roch-theorem-294-13090226
title:
Riemann–Roch theorem
text:
The Riemann–Roch theorem is an important theorem in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeros and allowed poles. It relates the complex analysis of a connected compact Riemann surface with the surface's purely topological genus g, in a way that can be carried over into purely algebraic settings. Initially proved as Riemann's inequality by Riemann (1857), the theorem reache
brand slug:
wiki
category slug:
encyclopedia
description:
Relation between genus, degree, and dimension of function spaces over surfaces
original url:
https://en.wikipedia.org/wiki/Riemann%E2%80%93Roch_theorem
date created:
date modified:
2023-12-17T14:27:58Z
main entity:
{"identifier":"Q379048","url":"https://www.wikidata.org/entity/Q379048"}
image:
fields total:
13
integrity:
14