Moduli problems of sheaves associated with oriented trees
Abstract
Description
To every oriented tree, we associate a moduli problem for sheaves over a projective manifold $X$. 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.
Revised version contains streamlined notation and updated introduction. The paper will appear in "Algebras and Representation Theory"
Revised version contains streamlined notation and updated introduction. The paper will appear in "Algebras and Representation Theory"