Analytic Sets. Coherence of Ideal Sheaves
Analytic sets are zero sets of holomorphic functions. Such sets were already considered in the nineteenth century — long before the notion of a complex space was coined — as the natural generalization of algebraic sets which are zero sets of polynomials. One reason to study analytic sets and not just systems of the type w1= f1(z1, ..., z m ), ..., w n = f n (z1, ..., z n ) is that quite often the implicit function theorem cannot be applied to solve a given set of holomorphic equations.
KeywordsPrime Ideal Open Neighborhood Complex Space Fundamental Theorem Neighborhood Versus
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