## Kodai Mathematical Journal

- Kodai Math. J.
- Volume 30, Number 3 (2007), 379-384.

### Non-hyperelliptic Riemann surfaces of genus five all of whose Weierstrass points have maximal weight

#### Abstract

It is proved that any non-hyperelliptic Riemann surface of genus five all of whose Weierstrass points have maximal weight has only Weierstrass points with gap sequence (1,2,3,5,9), and a defining equation of such a surface is given.

#### Article information

**Source**

Kodai Math. J., Volume 30, Number 3 (2007), 379-384.

**Dates**

First available in Project Euclid: 1 November 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.kmj/1193924941

**Digital Object Identifier**

doi:10.2996/kmj/1193924941

**Mathematical Reviews number (MathSciNet)**

MR2372125

**Zentralblatt MATH identifier**

1135.14024

#### Citation

Horiuchi, Ryutaro. Non-hyperelliptic Riemann surfaces of genus five all of whose Weierstrass points have maximal weight. Kodai Math. J. 30 (2007), no. 3, 379--384. doi:10.2996/kmj/1193924941. https://projecteuclid.org/euclid.kmj/1193924941