On smooth plane models for modular curves of Shimura type | Vidéo | Carmin.tv

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On smooth plane models for modular curves of Shimura type

De Elisa Lorenzo García

Apparaît dans la collection : COUNT - Computations and their Uses in Number Theory / Les calculs et leurs utilisations en théorie des nombres

In this talk we will see that there are only finitely many modular curves that admit a smooth plane model. Moreover, if the degree of the model is greater than or equal to 19, no such curve exists. For modular curves of Shimura type we will show that none can admit a smooth plane model of degree 5, 6 or 7. Further, if a modular curve of Shimura type admits a smooth plane model of degree 8 we will see that it must be a twist of one of four curves.

This is joint work with Samuele Anni and Eran Assaf.

Informations sur la vidéo

Date de captation 27/02/2023
Date de publication 13/03/2023
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Jean Petit
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20007003
Citer cette vidéo Lorenzo García, Elisa (27/02/2023). On smooth plane models for modular curves of Shimura type. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20007003
URL https://dx.doi.org/10.24350/CIRM.V.20007003

Domaine(s)

Bibliographie

ANNI, Samuele, ASSAF, Eran, et GARCÍA, Elisa Lorenzo. On smooth plane models for modular curves of Shimura type. arXiv preprint arXiv:2203.06370, 2022. - https://doi.org/10.48550/arXiv.2203.06370

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