Computational Algebra Seminar

Computational Algebra Seminar

Martine Girard
Leiden University

The group generated by the Weierstrass points of some plane quartics.

Thursday 5th April, 3-4pm

Eastern Avenue Tutorial Room 404

The group generated by the Weierstrass points of a smooth curve in its Jacobian is an interesting intrinsic invariant of the curve. We compute this group for some families of plane quartics. As an application, we get some information on the rank and on the torsion part of this group for a generic quartic having a fixed number of hyperflexes.