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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.)

Large automorphism groups of ordinary curves in characteristic 2

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Montanucci, Maria [1] ; Speziali, Pietro [2, 1]
Total Authors: 2
[1] Univ Basilicata, Dipartimento Matemat Informat & Econ, I-85100 Potenza - Italy
[2] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Algebra; v. 526, p. 30-50, MAY 15 2019.
Web of Science Citations: 0

Let X be a (projective, non-singular, irreducible) curve of even genus g(X) >= 2 defined over an algebraically closed field K of characteristic p. If the p-rank gamma(X) equals g(X), then X is ordinary. In this paper, we deal with large automorphism groups G of ordinary curves. Under the hypotheses that p = 2, g(X) is even and G is solvable, we prove that vertical bar G vertical bar < 35(g(X)+1)(3/2). (C) 2019 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 17/18776-6 - Algebraic curves in positive characteristic and applications
Grantee:Pietro Speziali
Support Opportunities: Scholarships in Brazil - Post-Doctorate