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
- DOI: 10.7146/math.scand.a-15029
- Enlaces
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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.
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