Journal article
On the size of the automorphism group of a plane algebraic curve
In
Journal of Pure and Applied Algebra
—
2013, Volume 217, Issue 7, pp. 1224-1236
From
Faculty of Engineering and Natural Sciences, Sabanci University Orhanli-Tuzla, 34956 Istanbul, Turkey1
Dipartimento di Matematica e Informatica, University of Perugia Via Vanvitelli 1, 06123 Perugia, Italy2
Dipartimento di Matematica e Informatica, University of Basilicata Viale dell’Ateneo Lucano 10, 85100 Potenza, Italy3
Abstract
Let K be an algebraically closed field of characteristic p>0, and let X be a curve over K of genus g≥2. Assume that p>2 and that X admits a non-singular plane model. The following result is proven: if X has more than 3(2g2+g)(8g+1+3) automorphisms, then X is birationally equivalent to a Hermitian curve.
| Language: | English |
|---|---|
| Year: | 2013 |
| Pages: | 1224-1236 |
| ISSN: | 18731376 and 00224049 |
| Types: | Journal article |
| DOI: | 10.1016/j.jpaa.2012.10.011 |
Keywords
