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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Holomorphic motions and complex geometry
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by Hervé Gaussier and Harish Seshadri PDF
Proc. Amer. Math. Soc. 147 (2019), 301-313 Request permission

Abstract:

We show that the graph of a holomorphic motion of the unit disc cannot be biholomorphic to a strongly pseudoconvex domain in $\mathbb {C}^n$.
References
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Additional Information
  • Hervé Gaussier
  • Affiliation: Université Grenoble Alpes, CNRS, IF, F-38000 Grenoble, France
  • Email: herve.gaussier@univ-grenoble-alpes.fr
  • Harish Seshadri
  • Affiliation: Department of Mathematics, Indian Institute of Science, Bangalore 560012, India
  • MR Author ID: 712201
  • Email: harish@math.iisc.ernet.in
  • Received by editor(s): December 24, 2017
  • Received by editor(s) in revised form: April 7, 2018, and May 4, 2018
  • Published electronically: October 18, 2018
  • Communicated by: Filippo Bracci
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 301-313
  • MSC (2010): Primary 32F45, 32Q45, 53C23
  • DOI: https://doi.org/10.1090/proc/14217
  • MathSciNet review: 3876750