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math.FA2012
Noncommutative analogues of Stein spaces of finite embedding dimension
A. Yu. Pirkovskii
We introduce and study holomorphically finitely generated (HFG) Fréchet algebras, which are analytic counterparts of affine (i.e., finitely generated) -algebras. Using a…
math.FA2012
Homological dimensions of modules of holomorphic functions on submanifolds of Stein manifolds
A. Yu. Pirkovskii
Let X be a Stein manifold, and let Y be a closed complex submanifold of X. Denote by O(X) the algebra of holomorphic functions on X. We show that the weak (i.e., flat) homological…