show · belyi.label all knowls · up · search:

The label of a Belyi map $\phi$ has the form $d$T$G$-$\lambda_0\_\lambda_1\_\lambda_\infty$-m encoding the following data.

• $d$T$G$ is the transitive group label of the monodromy group of $\phi$. Here $d$ is the degree of $\phi$.

• $\lambda_i$ are partitions of $d$ specifying the ramification type of $\phi$, each written using . as a separator between the parts of the partition.

• m is the Galois orbit label, a non-negative integer written in base 26 using the 26 symbols a, b, ..., z.

Authors:
Knowl status:
• Review status: beta
• Last edited by Sam Schiavone on 2021-05-05 17:18:19
Referred to by:
History: Differences