Complex analytic variety
Generalization of a complex manifold that allows the use of singularities / From Wikipedia, the free encyclopedia
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In mathematics, and in particular differential geometry and complex geometry, a complex analytic variety[note 1] or complex analytic space is a generalization of a complex manifold that allows the presence of singularities. Complex analytic varieties are locally ringed spaces that are locally isomorphic to local model spaces, where a local model space is an open subset of the vanishing locus of a finite set of holomorphic functions.