Belyi map verification using certified path tracking
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911600888250368 |
|---|---|
| author | Guillemot, Alexandre Voight, John |
| author_facet | Guillemot, Alexandre Voight, John |
| contents | We provide an end-to-end workflow to rigorously compute the monodromy of Belyi maps from exact equations over number fields using certified homotopy continuation. We then apply this method at scale to certify the monodromy triples of Belyi maps in the $L$-functions and Modular Forms Database (LMFDB). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15562 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Belyi map verification using certified path tracking Guillemot, Alexandre Voight, John Number Theory Algebraic Geometry 65H14 (Primary) 14E20, 65G20 (Secondary) We provide an end-to-end workflow to rigorously compute the monodromy of Belyi maps from exact equations over number fields using certified homotopy continuation. We then apply this method at scale to certify the monodromy triples of Belyi maps in the $L$-functions and Modular Forms Database (LMFDB). |
| title | Belyi map verification using certified path tracking |
| topic | Number Theory Algebraic Geometry 65H14 (Primary) 14E20, 65G20 (Secondary) |
| url | https://arxiv.org/abs/2604.15562 |