Riemann-Roch theorem

proper noun

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.

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Meanings

proper nounthe Riemann-Roch theorem
  1. mathematicsAn 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.

Origin

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

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Cite this entry
APA

Riemann-Roch theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Riemann-Roch%20theorem

MLA

“Riemann-Roch theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Riemann-Roch%20theorem. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Riemann-Roch theorem,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Riemann-Roch%20theorem.

Source: Riemann-Roch theorem on Wiktionary, CC BY-SA 4.0.