Published January 1, 2013
| Version v1
Journal article
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On the size of the automorphism group of a plane algebraic curve
- 1. Sabanci Univ Orhanli Tuzla, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkey
- 2. Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy
- 3. Univ Basilicata, Dipartimento Matemat & Informat, I-85100 Potenza, Italy
Description
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(2g(2) + g)(root 8g + 1 + 3) automorphisms, then X is birationally equivalent to a Hermitian curve. (C) 2012 Elsevier B.V. All rights reserved.
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