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384817

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

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Last updated: 05 Jan 2025

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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

Keywords

1-Weierstrass points, q-Gap sequence, Flexes, Sextactic points, Tentactic points, Canonical linear system, Kuribayashi sextic curve

Authors

First Name

Mohammed

Last Name

Saleem

MiddleName

A.

Affiliation

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

Email

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City

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Orcid

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First Name

Eslam

Last Name

Badr

MiddleName

E.

Affiliation

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

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Orcid

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Volume

22

Article Issue

3

Related Issue

50857

Issue Date

2014-10-01

Receive Date

2013-07-20

Publish Date

2014-10-01

Page Start

317

Page End

321

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 22_Issue 3_Pages 317-321.pdf

PDF . 437.5kB

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https://joems.journals.ekb.eg/article_384817.html

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https://joems.journals.ekb.eg/service?article_code=384817

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384,817

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

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

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Article

Created At

21 Dec 2024