𝐾-classes of Brill–Noether Loci and a Determinantal Formula
𝐾-classes of Brill–Noether Loci and a Determinantal Formula
Abstract We compute the Euler characteristic of the structure sheaf of the Brill–Noether locus of linear series with special vanishing at up to two marked points. When the Brill–Noether number $\rho $ is zero, we recover the Castelnuovo formula for the number of special linear series on a general curve; …