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387233

On the distribution of Weierstrass points on Gorenstein quintic curves

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Last updated: 05 Jan 2025

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Abstract

This paper is concerned with developing a technique to compute in a very precise way the
distribution of Weierstrass points on the members of any 1-parameter family C a , a ∈ C , of Gorenstein
quintic curves with respect to the dualizing sheaf K C a . The nicest feature of the procedure is that
it gives a way to produce examples of existence of Weierstrass points with prescribed special gap
sequences, by looking at plane curves or, more generally, to subcanonical curves embedded in some
higher dimensional projective space.

DOI

10.1016/j.joems.2015.08.008

Keywords

Gorenstein curves, Weierstrass points, Weierstrass gap sequences

Authors

First Name

Kamel

Last Name

Alwaleed

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

Email

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City

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Orcid

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First Name

Waleed

Last Name

lshareef

MiddleName

K.

Affiliation

Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

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City

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Volume

24

Article Issue

3

Related Issue

51065

Issue Date

2016-09-01

Receive Date

2024-10-20

Publish Date

2016-09-01

Page Start

329

Page End

336

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 3_Pages 329-336.pdf

PDF . 425.9kB

Link

https://joems.journals.ekb.eg/article_387233.html

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https://joems.journals.ekb.eg/service?article_code=387233

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387,233

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

On the distribution of Weierstrass points on Gorenstein quintic curves

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Type

Article

Created At

21 Dec 2024