$\mathbb Z/2$-Godeaux surfaces
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2020
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914511275950080 |
|---|---|
| author | Dias, Eduardo Rito, Carlos |
| author_facet | Dias, Eduardo Rito, Carlos |
| contents | We prove that the moduli space of numerical Godeaux surfaces with torsion group $\mathbb{Z}/2$ is irreducible and unirational of dimension 8. Moreover, we show that the topological fundamental group of these surfaces is also $\mathbb{Z}/2$. Our approach is based on the explicit construction of equations for all universal covers of numerical Godeaux surfaces with torsion group $\mathbb{Z}/2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_12645 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | $\mathbb Z/2$-Godeaux surfaces Dias, Eduardo Rito, Carlos Algebraic Geometry 14J29 We prove that the moduli space of numerical Godeaux surfaces with torsion group $\mathbb{Z}/2$ is irreducible and unirational of dimension 8. Moreover, we show that the topological fundamental group of these surfaces is also $\mathbb{Z}/2$. Our approach is based on the explicit construction of equations for all universal covers of numerical Godeaux surfaces with torsion group $\mathbb{Z}/2$. |
| title | $\mathbb Z/2$-Godeaux surfaces |
| topic | Algebraic Geometry 14J29 |
| url | https://arxiv.org/abs/2009.12645 |