Gonality of curves with a singular model on an elliptic quadric surface

Authors: EDOARDO BALLICO

Abstract: Let W \subset P^3 be a smooth quadric surface defined over a perfect field K and with no line defined over K (e.g., an elliptic quadric surface over a finite field). In this note we study the gonality over K of smooth curves with a singular model contained in W and with mild singularities.

Keywords: Gonality, curve over a perfect field, K-gonality, elliptic quadric surface

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