Moduli problems of sheaves associated with oriented trees

Details Moduli problems of sheaves associated with oriented trees Moduli problems of sheaves associated with oriented trees

2000-06-05

arxiv.org/abs/math/0006030v2

Algebras and Representation Theory 6 (2003), 1-32

Mathematics

Algebraic Geometry

Revised version contains streamlined notation and updated introduction. The paper will appear in "Algebras and Representation

Scientific paper

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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