Mathematical Research Letters
Volume 22 (2015)
A quadratic point on the Jacobian of the universal genus four curve
Pages: 1563 – 1571
In this paper, we construct a point on the Jacobian of a non-hyperelliptic genus four curve which is defined over a quadratic extension of the base field. We then show that this point generates the Mordell–Weil group of the Jacobian of the universal genus four curve.