The group of Weierstrass points of a plane quartic with at least eight hyperflexes |
| |
Authors: | Martine Girard |
| |
Institution: | Universiteit Leiden, Mathematisch Instituut, 2300 R. A. Leiden, The Netherlands |
| |
Abstract: | The group generated by the Weierstrass points of a smooth curve in its Jacobian is an intrinsic invariant of the curve. We determine this group for all smooth quartics with eight hyperflexes or more. Since Weierstrass points are closely related to moduli spaces of curves, as an application, we get bounds on both the rank and the torsion part of this group for a generic quartic having a fixed number of hyperflexes in the moduli space of curves of genus 3. |
| |
Keywords: | Algebraic curves Jacobian Weierstrass points quartics elliptic curves |
|
| 点击此处可从《Mathematics of Computation》浏览原始摘要信息 |
| 点击此处可从《Mathematics of Computation》下载免费的PDF全文 |