Komplexe Unterstrukturen mit einem festen Punkt als Träger

Abstract

Let (X,$\mathcal{O}$) be a given complex analytic space and x_o ∈ X a fixed point. We consider the set H of all substructures

of$\mathcal{O}$ with support

. Using results of [5] and methods of [6], we define on H the structure of a complex analytic space, satisfying a certain universal condition. If X is reduced the reduction of H coincides with the space constructed in [6].