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math.AGJul 20, 2000
3
citations (OpenAlex)
authors
  • Shulim Kaliman
  • Mikhail Zaidenberg
institutions
  • Max Planck Institute for Mathematics
  • Max Planck Society
arXiv abstractPDF
paper

Families of affine planes: the existence of a cylinder

arXiv:math/0007119

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.

arXiv comment12p, LaTeX2e, tar

Cited by in corpus (2)

  • The Jacobian Conjecture, together with Specht and Burnside-type problems
  • Affine varieties with equivalent cylinders
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