V. Mercat

activity

19992010

most citedModuli spaces of coherent systems of small slope on algebraic curves

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.AG2010

On an example of Mukai

H. Lange, V. Mercat, P. E. Newstead

In this note we use an example of Mukai to construct semistable bundles of rank 3 with 6 independent sections on a curve of genus 9 or 11 with Clifford index strictly less than the…

math.AG2007★ 1 cited

Moduli spaces of coherent systems of small slope on algebraic curves

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

Let $C$ be an algebraic curve of genus $g \geq 2$ . 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…

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)…