On the Hermitian curve and its intersections with some conics
classification
🧮 math.AC
keywords
curvehermitianintersectionssomeaffinealgebraicapplicationsautomorphisms
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We classify completely the intersections of the Hermitian curve with parabolas in the affine plane. To obtain our results we employ well-known algebraic methods for finite fields and geometric properties of the curve automorphisms. In particular, we provide explicit counting formulas that have also applications to some Hermitian codes.
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