Gap sequences of 1-Weierstrass points on non-hyperelliptic curves of genus 10 |
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| Institution: | 1. Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt;2. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt |
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| 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. |
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| Keywords: | 1-Weierstrass points Flexes Sextactic points Tentactic points Canonical linear system Kuribayashi sextic curve |
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