Bi-elliptic Weierstrass points on curves of genus 5

作者：Kato T; Magaard K^*; Voelklein H

来源：Indagationes Mathematicae, 2011, 22(1-2): 116-130.

DOI：10.1016/j.indag.2011.08.006

• Weierstrass points
• Bi-elliptic involutions

We study genus 5 curves with three bi-elliptic involutions by relating them to certain genus 3 curves. In particular, we show that there is only one such curve having exactly 24 Weierstrass points. This corrects a paper of del Centina. We also classify all genus 5 curves whose automorphism group is transitive on the Weierstrass points.

• 出版日期2011-10