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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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Weak boundedness theorems for canonically fibered Gorenstein minimal 3-folds
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by Meng Chen PDF
Proc. Amer. Math. Soc. 133 (2005), 1291-1298 Request permission

Abstract:

Let $X$ be a Gorenstein minimal projective 3-fold with at worst locally factorial terminal singularities. Suppose the canonical map is of fiber type. Denote by $F$ a smooth model of a generic irreducible element in fibers of $\phi _1$, and so $F$ is a curve or a smooth surface. The main result is that there is a computable constant $K$ independent of $X$ such that $g(F)\le 647$ or $p_g(F)\le 38$ whenever $p_g(X)\ge K$.
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Additional Information
  • Meng Chen
  • Affiliation: Institute of Mathematics, Fudan University, Shanghai, 200433, People’s Republic of China
  • Email: mchen@fudan.edu.cn
  • Received by editor(s): September 26, 2002
  • Received by editor(s) in revised form: January 8, 2004
  • Published electronically: October 18, 2004
  • Additional Notes: This paper was supported by the National Natural Science Foundation of China (No.10131010), Shanghai Scientific $\&$ Technical Commission (Grant 01QA14042) and SRF for ROCS, SEM
  • Communicated by: Michael Stillman
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1291-1298
  • MSC (2000): Primary 14C20, 14E35
  • DOI: https://doi.org/10.1090/S0002-9939-04-07680-4
  • MathSciNet review: 2111934