Components of Brill–Noether Loci for Curves with Fixed Gonality
Components of Brill–Noether Loci for Curves with Fixed Gonality
We describe a conjectural stratification of the Brill–Noether variety for general curves of fixed genus and gonality. As evidence for this conjecture, we show that this Brill–Noether variety has at least as many irreducible components as predicted by the conjecture and that each of these components has the expected dimension. …