Holomorphic vector bundles on a neighborhood of non-Stein compact subsets of Stein spaces

Steinness of the Total Space of a Non-Tr

Steinness of the Total Space of a Non-Trivial Algebraic Affine ℂ-Bundle on the Punctured Complex Affine Plane

✍ Makoto Abe 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 161 KB

We prove that the total space E of an algebraic affine C -bundle π : E → X on the punctured complex affine plane X := C 2 -{(0, 0)} is Stein if and only if it is not isomorphic to the trivial holomorphic line bundle X × C . ## 0. Introduction Let π : E → X be a holomorphic affine C -bundle on the