The Bolza curve and some orbifold ball quotient surfaces
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KOZIARZ, Vincent | |
| hal.structure.identifier | Universidade de Trás-os-Montes e Alto Douro [UTAD] | |
| dc.contributor.author | RITO, Carlos | |
| hal.structure.identifier | Institut de Mathématiques de Marseille [I2M] | |
| dc.contributor.author | ROULLEAU, Xavier | |
| dc.date.accessioned | 2024-04-04T03:01:15Z | |
| dc.date.available | 2024-04-04T03:01:15Z | |
| dc.date.issued | 2021 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192885 | |
| dc.description.abstractEn | We study Deraux's non arithmetic orbifold ball quotient surfaces obtained as birational transformations of a quotient $X$ of a particular Abelian surface $A$. Using the fact that $A$ is the Jacobian of the Bolza genus $2$ curve, we identify $X$ as the weighted projective plane $\mathbb{P}(1,3,8)$. We compute the equation of the mirror $M$ of the orbifold ball quotient $(X,M)$ and by taking the quotient by an involution, we obtain an orbifold ball quotient surface with mirror birational to an interesting configuration of plane curves of degrees $1,2$ and $3$. We also exhibit an arrangement of four conics in the plane which provides the above-mentioned ball quotient orbifold surfaces. | |
| dc.language.iso | en | |
| dc.publisher | University of Michigan | |
| dc.title.en | The Bolza curve and some orbifold ball quotient surfaces | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.subject.hal | Mathématiques [math]/Topologie géométrique [math.GT] | |
| dc.identifier.arxiv | 1904.00793 | |
| bordeaux.journal | Michigan Mathematical Journal | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02112689 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02112689v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Michigan%20Mathematical%20Journal&rft.date=2021&rft.au=KOZIARZ,%20Vincent&RITO,%20Carlos&ROULLEAU,%20Xavier&rft.genre=article |
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