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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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On the number of factors in the unipotent factorization of holomorphic mappings into $\text {SL}_2(\mathbb {C})$
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by Björn Ivarsson and Frank Kutzschebauch PDF
Proc. Amer. Math. Soc. 140 (2012), 823-838 Request permission

Abstract:

We estimate the number of unipotent elements needed to factor a null-homotopic holomorphic map from a finite dimensional reduced Stein space $X$ into $\text {SL}_2(\mathbb {C})$.
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Additional Information
  • Björn Ivarsson
  • Affiliation: Department of Natural Sciences, Engineering and Mathematics, Mid Sweden University, SE-851 70 Sundsvall, Sweden
  • Email: Bjorn.Ivarsson@miun.se
  • Frank Kutzschebauch
  • Affiliation: Institute of Mathematics, University of Bern, Sidlerstrasse 5, CH–3012 Bern, Swit- zerland
  • MR Author ID: 330461
  • Email: frank.kutzschebauch@math.unibe.ch
  • Received by editor(s): December 5, 2010
  • Published electronically: June 23, 2011
  • Additional Notes: The second author was supported by Schweizerische Nationalfonds grant 200021-116165/1.
  • Communicated by: Franc Forstneric
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 823-838
  • MSC (2010): Primary 32E10
  • DOI: https://doi.org/10.1090/S0002-9939-2011-11025-6
  • MathSciNet review: 2869067