Moduli problems of sheaves associated with oriented trees
Alexander Schmitt
Abstract
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.
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