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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The nonimbeddability of real hypersurfaces in spheres
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by James J. Faran
Proc. Amer. Math. Soc. 103 (1988), 902-904
DOI: https://doi.org/10.1090/S0002-9939-1988-0947678-6

Abstract:

It is shown that there exist real analytic real hypersurfaces in ${{\mathbf {C}}^n}$ which cannot be locally holomorphically imbedded in any finite dimensional sphere ${S^{2N - 1}} \subset {{\mathbf {C}}^{2N}}$.
References
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 902-904
  • MSC: Primary 32F15; Secondary 32H35
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0947678-6
  • MathSciNet review: 947678