# Riemann-Roch theorem

> English word · Proper noun

## Definitions
1. An important theorem in complex analysis and algebraic geometry for the computation of the dimension of the space of meromorphic functions with prescribed zeros and allowed poles.

## Etymology
Initially proven by Bernhard Riemann (1857); further work was done by Riemann's student Gustav Roch (1865).

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/riemann-roch-theorem