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Families of affine planes: the existence of a cylinder

Shulim Kaliman·Mikhail Zaidenberg
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Abstract

Given a family of complex affine planes, we show that it is trivial over a Zariski open subset of the base. The proof relies upon a relative version of the contraction theorem.

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Shulim Kaliman, Mikhail Zaidenberg. 2000-07-20. Families of affine planes: the existence of a cylinder. https://arxiv.org/abs/math/0007119

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