Finite geometry, Algebraic curves and Applications to Coding Theory
Rational points and automorphisms on algebraic curves over finite fields
Leonid Makar Limanov | Wayne State University - Estados Unidos
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [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
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| Document type: | Journal article |
| Source: | Journal of Algebra; v. 526, p. 30-50, MAY 15 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
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 |