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Complex-analytic space


In mathematics, a complex analytic space is a generalization of a complex manifold which allows the presence of singularities. Complex analytic spaces are locally ringed spaces which 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.

Denote the constant sheaf on a topological space with value by . A -space is a locally ringed space whose structure sheaf is an algebra over .


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