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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the number of factors in the unipotent factorization of holomorphic mappings into SL$ _2(\mathbb{C})$


Authors: Björn Ivarsson and Frank Kutzschebauch
Journal: Proc. Amer. Math. Soc. 140 (2012), 823-838
MSC (2010): Primary 32E10
Published electronically: June 23, 2011
MathSciNet review: 2869067
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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 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, Switzerland
Email: frank.kutzschebauch@math.unibe.ch

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11025-6
PII: S 0002-9939(2011)11025-6
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
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.