A global morphism from the Douady space to the cycle space

• Autores: Jón Ingólfur Magnússon
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 101, Nº 1, 2007, págs. 19-28
• Idioma: inglés
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• Resumen

  • We establish, for any given complex space M, a global morphism from the reduction of its Douady space to its cycle space. This morphism is an extension of the morphism defined in [1] from the subspace of the Douady space formed by all pure dimensional subspaces of M to the cycle space of M. In the case where M is projective this morphism is the classical morphism from the Hilbert scheme of M to the Chow scheme of M.