A functorial construction of moduli of sheaves

Details A functorial construction of moduli of sheaves A functorial construction of moduli of sheaves

2006-02-02

arxiv.org/abs/math/0602032v2

Mathematics

Algebraic Geometry

52 pp. Dedicated to the memory of Joseph Le Potier. To appear in Inventiones Mathematicae. Slight change in the definition of

Scientific paper

10.1007/s00222-007-0042-5

We show how natural functors from the category of coherent sheaves on a
projective scheme to categories of Kronecker modules can be used to construct
moduli spaces of semistable sheaves. This construction simplifies or clarifies
technical aspects of existing constructions and yields new simpler definitions
of theta functions, about which more complete results can be proved.

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