Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 3

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

Pages
394–400
DOI
—

Abstract

Let W \subset P3 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.

Özet

Let W \subset P3 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