Duality Construction of Moduli Spaces

For a rank two vector bundle E on the projective plane IP the divisor DE of its jumping lines is a certain generalization of the Chow divisor of a projective scheme We give a generalization of this divisor for coherent sheaves on surfaces Using this duality we construct the moduli space of coherent sheaves on a surface that does not use Mumford s geometric invariant theory Furthermore we obtain a nite morphism from this moduli space to a linear system which generalizes the divisors of jumping lines