Herbert Lange

collaborators

Showing math.AGShow all

8 papers · 1 filter

math.AG2005

Principal polarizations on products of elliptic curves

Herbert Lange

An abelian variety admits only a finite number of isomorphism classes of principal polarizations. The paper gives an interpretation of this number in terms of class numbers of defi…

math.AG2005

Polarizations of Prym Varieties of pairs of coverings

H. Lange, S. Recillas

To any pair of coverings $f_i: X \ra X_i, i = 1,2$ of smooth projective curves one can associate an abelian subvariety of the Jacobian $J_{X}$ , the Prym variety $P (f_{1}, f_{2})$ of the p…

math.AG2004

A family of Prym-Tyurin varieties of exponent 3

H. Lange, S. Recillas, A. M. Rojas

We investigate a family of correspondences associated to étale coverings of degree 3 of hyperelliptic curves. They lead to Prym-Tyurin varieties of exponent 3. We identify these va…

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.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…