Gap sequences of 1-Weierstrass points on non-hyperelliptic curves of genus 10

Journal of the Egyptian Mathematical Society

Eslam E. Badr¹  Mohammed A. Saleem² 

[1] Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt;Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt;

关键词: 1-Weierstrass points;    q-Gap sequence;    Flexes;    Sextactic points;    Tentactic points;    Canonical linear system;    Kuribayashi sextic curve;   

DOI  :  10.1016/j.joems.2013.12.005

来源: DOAJ

【 摘 要 】

In this paper, we compute the 1-gap sequences of 1-Weierstrass points of non-hyperelliptic smooth projective curves of genus 10. Furthermore, the geometry of such points is classified as flexes, sextactic and tentactic points. Also, upper bounds for their numbers are estimated.

【 授权许可】

Unknown