Hokkaido Mathematical Journal

A curve of genus 5 having 24 Weierstrass points of weight 5

Takao KATO

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Abstract

In this paper, we shall prove that if an irreducible curve X of genus 5 over ℂ has 24 Weierstrass points of weight 5, then it has exactly three bielliptic involutions.

Article information

Source
Hokkaido Math. J., Volume 44, Number 2 (2015), 165-173.

Dates
First available in Project Euclid: 1 August 2016

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1470053288

Digital Object Identifier
doi:10.14492/hokmj/1470053288

Mathematical Reviews number (MathSciNet)
MR3532104

Zentralblatt MATH identifier
1346.14089

Subjects
Primary: 14H55: Riemann surfaces; Weierstrass points; gap sequences [See also 30Fxx] 14H37: Automorphisms 30F10: Compact Riemann surfaces and uniformization [See also 14H15, 32G15]

Keywords
algebraic curves Weierstrass points bielliptic involutions

Citation

KATO, Takao. A curve of genus 5 having 24 Weierstrass points of weight 5. Hokkaido Math. J. 44 (2015), no. 2, 165--173. doi:10.14492/hokmj/1470053288. https://projecteuclid.org/euclid.hokmj/1470053288


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