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

Authors

1 Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt

2 Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

Abstract

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

Keywords