Nonemptiness of Brill-Noether loci

L. Brambila-Paz, V. Mercat, P. E. Newstead +1

Let $X$ be a non-singular algebraic curve of genus $g$. We prove that the Brill-Noether locus $\bns $ is non-empty if $d=n{d}^{\prime }+d^{\prime \prime }$ with $0<d^{\prime \prime }<2n$, $1\le s\le g$, $d'\geq (s-1)…