Domains over Stein spaces and Cartier divisors
DOI:
https://doi.org/10.2140/mscand.2026.132.73Keywords:
Stein space, Cartier divisor, unbranched Riemann domainAbstract
We show that a domain $({\rm X},\pi)$ over a Stein spaces $\rm Y$ of dimension $n$ is locally Stein over ${\rm Reg}({\rm Y})$ provided that $H^j({\rm X},\mathcal{O})=0$ for $2 \leq j<n$ and that on $\rm X$ any topologically trivial holomorphic line bundle is defined by a Cartier divisor.
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