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Frobenius nonclassicality of generalized Fermat curves with respect to conics

Arakelian, Nazar et al.
arXiv (OAI Expanded) · Papers
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algebraic-geometrynumber-theory
The effective application of the Stöhr-Voloch theory for the linear system of plane curves of a fixed degree to bound the number of rational points of a family of plane curves defined over $\mathbb{F}_q$ requires the characterization of the $\mathbb{F}_q$-Frobenius nonclassical curves in the family.
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