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Rational and singular points of a family of curves

This paper explores the properties of a family of absolutely irreducible projective plane curves, denoted Ca,b, which are defined over a finite field Fm of characteristic 2. The curves are explicitly given by the homogeneous equation YaZb−a+YZb−1+Xb=0, where a and b are natural numbers satisfying th...

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Autore principale: M.C. Rodríguez-Palánquex
Natura: Artigo
Lingua:Inglês
Pubblicazione: Elsevier 2025-08-01
Serie:Results in Applied Mathematics
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Accesso online:http://www.sciencedirect.com/science/article/pii/S2590037425000949
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