A Characterization Of The Artin-mumford Curve

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Let M be the Artin-Mumford curve over the finite prime field F-p with p > 2. By a result of Valentini and Madan, Aut(Fp) (M) congruent to H with H = (C-p x C-p) x Dp-1 We prove that if X is an algebraic curve of genus g = (p - 1)(2) defined over F-p such that Aut(Fp) (X) contains a subgroup isomorphic to H then X is birationally equivalent over F-p to the Artin Mumford curve M. (C) 2015 Elsevier Inc. All rights reserved.154278291Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Italian Ministry MURST, Strutture geometriche, combinatoria e loro applicazioni, PRINFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FAPESP [2014/03497-6