# Riemann–Roch theorem

> theorem that the Euler characteristic of the sheaf cohomology of a holomorphic line bundle on a Riemann surface equals the degree of the bundle plus half of the Euler characteristic of the surface

**Wikidata**: [Q379048](https://www.wikidata.org/wiki/Q379048)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Riemann–Roch_theorem)  
**Source**: https://4ort.xyz/entity/riemann-roch-theorem


## References

1. Freebase Data Dumps. 2013