SEVERAL COMPLEX VARIABLES (SCV)
DOI:
https://doi.org/10.5281/Abstract
Holomorphic Structure and Extension Properties: By the Cartan–Oka Theorems (specifically Theorem B), any affine algebraic or Stein analytic space V satisfies the global extension property: the algebra of global holomorphic functions O(V) is isomorphic to the quotient algebra O(Cn)/I(V), where I(V) is the vanishing ideal of V. The presence of singularities locally restricts regularity, requiring sheaf-theoretic methods and space normalizations.[1]
References
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