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Duality Construction of Moduli Spaces

alg-geom 2008-02-03 v1 代数几何

摘要

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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引用

@article{arxiv.alg-geom/9708025,
  title  = {Duality Construction of Moduli Spaces},
  author = {Georg Hein},
  journal= {arXiv preprint arXiv:alg-geom/9708025},
  year   = {2008}
}

备注

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