A global morphism from the Douady space to the cycle space

Jón Ingólfur Magnússon

doi:10.7146/math.scand.a-15029

A global morphism from the Douady space to the cycle space

Authors

Jón Ingólfur Magnússon

DOI:

https://doi.org/10.7146/math.scand.a-15029

Abstract

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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Published

2007-09-01

How to Cite

Magnússon, J. I. (2007). A global morphism from the Douady space to the cycle space. MATHEMATICA SCANDINAVICA, 101(1), 19–28. https://doi.org/10.7146/math.scand.a-15029