Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
algebraic curves
|
| gptkbp:category |
theorems in algebraic geometry
theorems in complex analysis |
| gptkbp:field |
gptkb:algebraic_geometry
complex analysis |
| gptkbp:form |
dim L(D) - dim L(K-D) = deg(D) + 1 - g
|
| gptkbp:formedBy |
1857
|
| gptkbp:generalizes |
gptkb:Hirzebruch–Riemann–Roch_theorem
gptkb:Grothendieck–Riemann–Roch_theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Riemann-Roch theorem
|
| gptkbp:influenced |
modern algebraic geometry
|
| gptkbp:namedAfter |
gptkb:Bernhard_Riemann
gptkb:Gustav_Roch |
| gptkbp:publishedIn |
gptkb:Journal_für_die_reine_und_angewandte_Mathematik
|
| gptkbp:relatedTo |
dimension of space of sections
genus of a curve |
| gptkbp:bfsParent |
gptkb:Riemann-Roch's_theorem_in_characteristic_p
gptkb:algebraic_geometry |
| gptkbp:bfsLayer |
5
|