P. E. Newstead

collaborators

5 papers

math.AG2004

On Poincare bundles of vector bundles on curves

H. Lange, P. E. Newstead

Let $M$ denote the moduli space of stable vector bundles of rank $n$ and fixed determinant of degree coprime to $n$ on a non-singular projective curve $X$ of genus $g \geq 2$ . Deno…

math.AG2004

Coherent Systems on Elliptic curves

H. Lange, P. E. Newstead

In this paper we consider coherent systems $(E, V)$ on an elliptic curve which are stable with respect to some value of a parameter $α$ . We show that the corresponding moduli spaces…

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.AG2003

Coherent systems of genus 0

H. Lange, P. E. Newstead

In this paper we begin the classification of coherent systems $(E, V)$ on the projective line which are stable with respect to some value of a parameter $α$ . In particular we show t…

math.AG2003

On Clifford's theorem for rank-3 bundles

H. Lange, P. E. Newstead

In this paper we obtain bounds on $h^{0} (E)$ where $E$ is a semistable bundle of rank 3 over a smooth irreducible projective curve $X$ of genus $g \geq 2$ defined over an algebraical…