Álvaro Rodriguez compiled a complete list of group actions on Riemann surfaces up to topological equivalence for surfaces with genus up to 15. The data includes groups that act on a surface for a given signature and one generating vector representative per equivalence class. The repository was last updated on October 14, 2025.
Use Cases
- Classifying automorphism groups of Riemann surfaces based on the provided list of groups and signatures.
- Studying topological equivalence classes of group actions using the representative generating vectors.
- Verifying theoretical results in low-dimensional topology and geometry against enumerated data for genus up to 15.
Strengths
- Data is described as 'complete' for the specified scope of genus up to 15.
- Includes both the list of acting groups and representative generating vectors for each equivalence class.
Limitations
- Column-level documentation is absent; field semantics must be inferred after download.
- Row count is unknown, which may limit suitability assessment.
Provenance
- Source
- Álvaro Rodriguez via e-cienciaDatos Harvested Dataverse.
- Collection Method
- Likely derived from mathematical enumeration and classification.
- Time Range
- null
- Freshness
- Last updated 2025-10 14 21:53:21; freshness should be verified.
- Geography
- null