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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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Degree of the canonical map of a Gorenstein 3-fold of general type
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by Jin-Xing Cai PDF
Proc. Amer. Math. Soc. 136 (2008), 1565-1574 Request permission

Abstract:

We prove that, for a complex projective Gorenstein 3-fold $X$ of general type with locally factorial terminal singularities, if $p_g(X)>105411$ and the canonical map $\phi _X$ of $X$ is generically finite, then $\deg \phi _X\leq 72$.
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Additional Information
  • Jin-Xing Cai
  • Affiliation: LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
  • Email: jxcai@math.pku.edu.cn
  • Received by editor(s): September 13, 2006
  • Received by editor(s) in revised form: February 21, 2007
  • Published electronically: December 21, 2007
  • Communicated by: Ted Chinburg
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 1565-1574
  • MSC (2000): Primary 14J30, 14E35
  • DOI: https://doi.org/10.1090/S0002-9939-07-09254-4
  • MathSciNet review: 2373585