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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Homomorphisms between fundamental groups of Kähler manifolds
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by Botong Wang
Proc. Amer. Math. Soc. 139 (2011), 1599-1603
DOI: https://doi.org/10.1090/S0002-9939-2011-10775-5
Published electronically: January 11, 2011
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Abstract:

We construct a group homomorphism, which can be realized as the induced homomorphism of fundamental groups from a holomorphic map between compact Kähler manifolds, but cannot be realized by a holomorphic map between smooth projective varieties. It is also proved that there exists no such example between abelian groups.
References
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Bibliographic Information
  • Botong Wang
  • Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
  • MR Author ID: 923993
  • Email: wang191@math.purdue.edu
  • Received by editor(s): December 2, 2009
  • Received by editor(s) in revised form: March 19, 2010
  • Published electronically: January 11, 2011
  • Communicated by: Ted Chinburg
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 1599-1603
  • MSC (2010): Primary 32J27; Secondary 14F35, 20F34
  • DOI: https://doi.org/10.1090/S0002-9939-2011-10775-5
  • MathSciNet review: 2763749