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Steinness of the Total Space of a Non‐Trivial Algebraic Affine ℂ‐Bundle on the Punctured Complex Affine Plane |
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| Authors: | Makoto Abe |
| Abstract: | We prove that the total space E of an algebraic affine ℂ‐bundle π : E → X on the punctured complex affine plane X ≔ ℂ2 – {(0, 0)} is Stein if and only if it is not isomorphic to the trivial holomorphic line bundle X × ℂ. |
| Keywords: | Holomorphic affine ℂ ‐bundle holomorphic line bundle Stein manifold |