Riemann–Roch theorem
Teorema de Riemann-Roch
- Date
- 1857-1865 · confidence high
- Place
- Göttingen, Lower Saxony, Germany
- Credited to
- Gustav Roch y Bernhard Riemann
- Field
- Knowledge & symbols
What was discovered
Theorem linking complex analysis and the topology of a compact Riemann surface, sketched as an inequality by Bernhard Riemann in 1857 and brought to its definitive form by his student Gustav Roch in 1865.
What it led to
- Later generalisation to algebraic curves and higher-dimensional varieties
- Central tool of modern algebraic geometry
- Basis for later developments such as the Hirzebruch–Riemann–Roch theorem