I am reading the book From holomorphic functions to complex manifolds by Klaus Fritzsche and Hans Grauert. I have a question about a fiber bundle. On page 186, the last line. How to show that $$ \Gamma(U, \mathcal{O}^*_{X}) \cong \mathcal{O}^*(U):=\{f\in \mathcal{O}(U) : f(x) \neq 0 \text{ for every } x\in U\}? $$ Thank you very much.
2026-03-30 06:38:12.1774852692
questions about a fiber bundle
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