Abelian function fields on Jacobian varieties
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910805531820032 |
|---|---|
| author | Bernatska, Julia |
| author_facet | Bernatska, Julia |
| contents | In this paper the fields of multiply periodic, or Kleinian $\wp$-functions are exposed. Such a field arises on the Jacobian variety of an algebraic curve, and provides natural algebraic models of the Jacobian and Kummer varieties, possesses the addition law, and accommodates dynamical equations with solutions. All this will be explained in detail for plane algebraic curves in their canonical forms. Example of hyperelliptic and non-hyperelliptic curves are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05455 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Abelian function fields on Jacobian varieties Bernatska, Julia Algebraic Geometry Mathematical Physics 33E99, 58C99 In this paper the fields of multiply periodic, or Kleinian $\wp$-functions are exposed. Such a field arises on the Jacobian variety of an algebraic curve, and provides natural algebraic models of the Jacobian and Kummer varieties, possesses the addition law, and accommodates dynamical equations with solutions. All this will be explained in detail for plane algebraic curves in their canonical forms. Example of hyperelliptic and non-hyperelliptic curves are presented. |
| title | Abelian function fields on Jacobian varieties |
| topic | Algebraic Geometry Mathematical Physics 33E99, 58C99 |
| url | https://arxiv.org/abs/2412.05455 |