Effective gonality theorem on weight-one syzygies of algebraic curves
Effective gonality theorem on weight-one syzygies of algebraic curves
In 1986, Green-Lazarsfeld raised the gonality conjecture asserting that the gonality $\operatorname{gon}(C)$ of a smooth projective curve $C$ of genus $g\geq 2$ can be read off from weight-one syzygies of a sufficiently positive line bundle $L$ on $C$, and also proposed possible least degree of such a line bundle. In …