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Moduli problems of sheaves associated with oriented trees

Alexander Schmitt
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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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Alexander Schmitt. 2001-02-14. Moduli problems of sheaves associated with oriented trees. https://arxiv.org/abs/math/0006030

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