Complete Families of Generic Covers of Elliptic Curves
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912820636942336 |
|---|---|
| author | Bujokas, Gabriel Patel, Anand |
| author_facet | Bujokas, Gabriel Patel, Anand |
| contents | We introduce and motivate a conjecture about the existence of complete, 1-dimensional families of covers of an elliptic curve. If the conjecture holds, then it would imply a uniform lower bound of 5 for slope of the moduli space of curves. If the conjecture fails, this would itself be an interesting phenomenon worthy of explanation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20291 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Complete Families of Generic Covers of Elliptic Curves Bujokas, Gabriel Patel, Anand Algebraic Geometry We introduce and motivate a conjecture about the existence of complete, 1-dimensional families of covers of an elliptic curve. If the conjecture holds, then it would imply a uniform lower bound of 5 for slope of the moduli space of curves. If the conjecture fails, this would itself be an interesting phenomenon worthy of explanation. |
| title | Complete Families of Generic Covers of Elliptic Curves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2410.20291 |