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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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 projectivity of threefolds
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by Zbigniew Jelonek PDF
Proc. Amer. Math. Soc. 133 (2005), 2539-2542 Request permission

Abstract:

Let $X$ be a smooth complete three-dimensional algebraic variety (defined over an algebraically closed field $k$). We show that $X$ is projective if it contains a divisor which is positive on the cone of effective curves.
References
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Additional Information
  • Zbigniew Jelonek
  • Affiliation: Instytut Matematyczny, Polska Akademia Nauk, Św. Tomasza 30, 31-027 Kraków, Poland
  • Address at time of publication: Department of Mathematics, Purdue University, West Lafayette, Indiana 47906
  • Email: najelone@cyf-kr.edu.pl
  • Received by editor(s): November 8, 2003
  • Received by editor(s) in revised form: May 17, 2004
  • Published electronically: March 22, 2005
  • Additional Notes: The author was partially supported by the KBN grant number 2PO3A 01722
  • Communicated by: Michael Stillman
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 2539-2542
  • MSC (2000): Primary 14A10, 14A15
  • DOI: https://doi.org/10.1090/S0002-9939-05-07859-7
  • MathSciNet review: 2146196