Algebraic Curves

This page is mainly on activities of algebraic curves. It includes past conferences on the subject, lecture notes, or future conferences.  We focus on the geometry of algebraic curves, arithmetic geometry, and applications to other areas.

Database of algebraic curves

To enter the database click on the picture

Genus 2 encyclopedia

Contents
  • Genus 2 curves of minimal absolute height < 5  or moduli height < 11 including the following for each curve:
    • automorphism group over the complex numbers
    • automorphism group over Q
    • all twists of curves for a fixed minimal absolute height
    • Statistics
  • Genus 3 hyperelliptic curves.  For each curve the following is displayed:
    • absolute invariants t_1, ..., t_6
    • automorphism group over the complex numbers
    • automorphism group over Q
    • all twists of curves for a fixed minimal absolute height
    • Statistics
  • Ternary quartics (TBA)
  • Superelliptic curves of higher genus
    • all superelliptic curves of genus g<11
    • all their automorphism groups over C

Arithmetic Statistics

To come soon

Some interesting statistics about the points in the moduli space of curves.

Moduli space of genus 4 curves



Conferences


Outreach and social media

Visit our facebook page by clicking on the picture

Algebraic curves facebook page

Contact

For questions or issues with the databases or anything else related to this site contact:
Lubjana Beshaj 

Lubjana Beshaj 
Email:  info@algcurves.org
            beshaj@algcurves.org
            beshaj@oakland.edu


For other members of the group visit
people.algcurves.org

Posters

We should have a few more posters ready in the next few weeks. Feel free to download them and print them for your use. 


Genus 3 algebraic curves

Equations of curves with minimal discriminant