Duality Construction of Moduli Spaces

Details Duality Construction of Moduli Spaces Duality Construction of Moduli Spaces

1997-08-29

arxiv.org/abs/alg-geom/9708025v1

Mathematics

Algebraic Geometry

12 pages LaTeX using pb-diagram.sty

Scientific paper

We show for the moduli space of rank-2 coherent sheaves on an algebraic
surface that there exists a 'dual' moduli space. This dual space allows a
construction of the first one without using the GIT construction. Furthermore,
we obtain a Barth-morphism, generalizing the concept of jumping lines. This
morphism is by construction a finite morphism.

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