PRODUCTOS FIBRADOS DE EXTENSIONES DE KUMMER Y ARTIN-SCHREIER

Adriana Alexandra Albarracín Mantilla; Álvaro Garzón Rojas

doi:10.18257/raccefyn.34(133).2010.2475

Vol. 34 No. 133 (2010), Mathematics

Vol. 34 No. 133 (2010)

ARTIN-SCHREIER AMD KUMMER EXTENSIONS FIBERED PRODUCTS

Mathematics

https://doi.org/10.18257/raccefyn.34(133).2010.2475

Published 2023-12-22

Adriana Alexandra Albarracín Mantilla⁺⁻
Álvaro Garzón Rojas⁺⁻

Adriana Alexandra Albarracín Mantilla

Escuela de Matemática, Universidad Industrial de Santander, Bucaramanga, Santander, Colombia

Álvaro Garzón Rojas

Departamento de Matemáticas, Universidad del Valle, Cali, Valle, Colombia

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How to Cite

Albarracín Mantilla, A. A., & Garzón Rojas, Álvaro. (2023). ARTIN-SCHREIER AMD KUMMER EXTENSIONS FIBERED PRODUCTS. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 34(133), 513–520. https://doi.org/10.18257/raccefyn.34(133).2010.2475

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Abstract

We construct algebraic function fields over the finite field F_q with many rational points with respect to their genus. The curves constructed are fibre products of Kummer and Artin-Schreier covers of the projective line.

https://doi.org/10.18257/raccefyn.34(133).2010.2475

Keywords

algebraic function fields | finite fields | rational places | Kummer extensions | Artin- Schreier extensions

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References

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