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math.CV2024
Stein spaces and Stein algebras
Olivier Benoist
We prove that the category of Stein spaces and holomorphic maps is anti-equivalent to the category of Stein algebras and -algebra morphisms. This removes a finite dimen…
math.CV2024
On the Artin vanishing theorem for Stein spaces
Olivier Benoist
Artin vanishing theorems for Stein spaces refer to the vanishing of some of their (co)homology groups in degrees higher than the dimension. We obtain new positive and negative resu…