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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A characterization of the Artin-Mumford curve

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Author(s):
Arakelian, Nazar [1] ; Korchmaros, Gabor [2]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, BR-13083859 Campinas, SP - Brazil
[2] Univ Basilicata, Dipartimento Matemat, I-85100 Potenza - Italy
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF NUMBER THEORY; v. 154, p. 278-291, SEP 2015.
Web of Science Citations: 5
Abstract

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. (AU)

FAPESP's process: 14/03497-6 - Rational points on algebraic curves over finite fields
Grantee:Nazar Arakelian
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor