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- Riemann–Roch_theorem abstract "The Riemann–Roch theorem is an important tool in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeroes 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 reached its definitive form for Riemann surfaces after work of Riemann's short-lived student Gustav Roch (1865). It was later generalized to algebraic curves, to higher-dimensional varieties and beyond.".
- Riemann–Roch_theorem thumbnail Triple_torus_illustration.png?width=300.
- Riemann–Roch_theorem wikiPageID "247261".
- Riemann–Roch_theorem wikiPageRevisionID "603539155".
- Riemann–Roch_theorem authorlink "Gustav Roch".
- Riemann–Roch_theorem first "Gustav".
- Riemann–Roch_theorem id "p/r081980".
- Riemann–Roch_theorem last "Roch".
- Riemann–Roch_theorem title "Riemann-Roch theorem".
- Riemann–Roch_theorem year "1865".
- Riemann–Roch_theorem subject Category:Articles_with_inconsistent_citation_formats.
- Riemann–Roch_theorem subject Category:Geometry_of_divisors.
- Riemann–Roch_theorem subject Category:Theorems_in_algebraic_geometry.
- Riemann–Roch_theorem subject Category:Theorems_in_complex_analysis.
- Riemann–Roch_theorem subject Category:Topological_methods_of_algebraic_geometry.
- Riemann–Roch_theorem comment "The Riemann–Roch theorem is an important tool in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeroes and allowed poles.".
- Riemann–Roch_theorem label "Riemann–Roch theorem".
- Riemann–Roch_theorem label "Satz von Riemann-Roch".
- Riemann–Roch_theorem label "Stelling van Riemann-Roch".
- Riemann–Roch_theorem label "Théorème de Riemann-Roch".
- Riemann–Roch_theorem label "リーマン・ロッホの定理".
- Riemann–Roch_theorem label "黎曼-罗赫定理".
- Riemann–Roch_theorem sameAs Riemann%E2%80%93Roch_theorem.
- Riemann–Roch_theorem sameAs Satz_von_Riemann-Roch.
- Riemann–Roch_theorem sameAs Théorème_de_Riemann-Roch.
- Riemann–Roch_theorem sameAs リーマン・ロッホの定理.
- Riemann–Roch_theorem sameAs 리만-로흐_정리.
- Riemann–Roch_theorem sameAs Stelling_van_Riemann-Roch.
- Riemann–Roch_theorem sameAs Q379048.
- Riemann–Roch_theorem sameAs Q379048.
- Riemann–Roch_theorem wasDerivedFrom Riemann–Roch_theorem?oldid=603539155.
- Riemann–Roch_theorem depiction Triple_torus_illustration.png.