COUNT - Computations and their Uses in Number Theory / Les calculs et leurs utilisations en théorie des nombres

Collection COUNT - Computations and their Uses in Number Theory / Les calculs et leurs utilisations en théorie des nombres

Organizer(s) Anni, Samuele ; Allombert, Bill ; Balakrishnan, Jennifer ; Bruin, Peter ; Kilicer, Pinar ; Streng, Marco
Date(s) 28/02/2023 - 03/03/2023
linked URL https://conferences.cirm-math.fr/2805.html
00:00:00 / 00:00:00
1 5

On smooth plane models for modular curves of Shimura type

By Elisa Lorenzo García

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.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.20007003
  • Cite this video 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

Bibliography

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorite subjects
Give feedback
Loading…
Loading the web debug toolbar…
Attempt #