Moduli problems of sheaves associated with oriented trees
Algebraic Geometry
2007-05-23 v2
Abstract
To every oriented tree, we associate a moduli problem for sheaves over a projective manifold . We define the corresponding notion of semistability and establish the existence of moduli spaces. Applying the results to the tree *->*, we obtain a GIT construction for the moduli space of holomorphic triples of Bradlow and Garcia-Prada.
Cite
@article{arxiv.math/0006030,
title = {Moduli problems of sheaves associated with oriented trees},
author = {Alexander Schmitt},
journal= {arXiv preprint arXiv:math/0006030},
year = {2007}
}
Comments
Revised version contains streamlined notation and updated introduction. The paper will appear in "Algebras and Representation Theory"