Duality Construction of Moduli Spaces
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
We show for the moduli space of rank-2 coherent sheaves on an algebraic surface that there exists a 'dual' moduli space. This dual space allows a construction of the first one without using the GIT construction. Furthermore, we obtain a Barth-morphism, generalizing the concept of jumping lines. This morphism is by construction a finite morphism.
Cite
@article{arxiv.alg-geom/9708025,
title = {Duality Construction of Moduli Spaces},
author = {Georg Hein},
journal= {arXiv preprint arXiv:alg-geom/9708025},
year = {2008}
}
Comments
12 pages LaTeX using pb-diagram.sty