University Crest
School of Mathematics and Statistics
Algebra Group
Carslaw building
Algebraic Geometry Seminar
Algebra Seminar
Computational Algebra Seminar
Other Seminars
 

University of Sydney

School of Mathematics and Statistics

Algebraic Geometry Seminar

10.05 - 11.30pm in Carslaw 829 on Friday 9th November 2001

Martine Girard

Group of Weierstrass points of a plane quartic
with a fixed number of hyperflexes.

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 plane quartics having a fixed number of hyperflexes (that is points of the curve where the tangent line meets the curve with multiplicity 4).

Since there exists a stratification of the moduli space of curve of genus 3 depending on the number of hyperflexes , 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.