A generalization of the Giulietti-Korchmaros maximal curve

Garcia, Arnaldo and Güneri, Cem and Stichtenoth, Henning (2010) A generalization of the Giulietti-Korchmaros maximal curve. Advances in Geometry, 10 (3). pp. 427-434. ISSN 1615-715X (Print) 1615-7168 (Online)

This is the latest version of this item.

[thumbnail of garcia-guneri-stichtenoth-revised.pdf]

PDF
garcia-guneri-stichtenoth-revised.pdf
Restricted to Registered users only
Download (157kB) | Request a copy

[thumbnail of garcia-guneri-stichtenoth.pdf]

PDF
garcia-guneri-stichtenoth.pdf
Restricted to Registered users only
Download (157kB) | Request a copy

Official URL: http://dx.doi.org/10.1515/ADVGEOM.2010.020

Abstract

We introduce a family of algebraic curves over F-q(2n) ( for an odd n) and show that they are maximal. When n = 3, our curve coincides with the F-q(6)-maximal curve that has been found by Giulietti and Korchmaros recently. Their curve (i.e., the case n = 3) is the first example of a maximal curve proven not to be covered by the Hermitian curve.

Item Type:	Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences
Depositing User:	Cem Güneri
Date Deposited:	26 Jul 2010 16:26
Last Modified:	26 Apr 2022 08:38
URI:	https://research.sabanciuniv.edu/id/eprint/14178

Available Versions of this Item

A generalization of the Giulietti-Korchmaros maximal curve. (deposited 15 Feb 2008 11:52)
- A generalization of the Giulietti-Korchmaros maximal curve. (deposited 14 Jul 2008 10:10)
  - A generalization of the Giulietti-Korchmaros maximal curve. (deposited 26 Jul 2010 16:26) [Currently Displayed]

Actions (login required)

: View Item