V. Mercat

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math.AG2004

On the geometry of moduli spaces of coherent systems on algebraic curves

S. Bradlow, O. Garcia-Prada, V. Mercat +2

Let $C$ be an algebraic curve of genus $g$ . A coherent system on $C$ consists of a pair $(E, V)$ , where $E$ is an algebraic vector bundle over $C$ of rank $n$ and degree $d$ and $V$ …

math.AG1999

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 $d = n d^{'} + d^{''}$ with $0 < d^{''} < 2 n$ , $1 \leq s \leq g$ , $d'\geq (s-1)…