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Duality Construction of Moduli Spaces

Georg Hein
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Abstract

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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Georg Hein. 1997-08-29. Duality Construction of Moduli Spaces. https://arxiv.org/abs/alg-geom/9708025

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