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Degree of the canonical map of a Gorenstein 3-fold of general type

Author(s): Jin-Xing Cai
Journal: Proc. Amer. Math. Soc. 136 (2008), 1565-1574.
MSC (2000): Primary 14J30, 14E35
Posted: December 21, 2007
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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

DOI: 10.1090/S0002-9939-07-09254-4
PII: S 0002-9939(07)09254-4
Received by editor(s): September 13, 2006
Received by editor(s) in revised form: February 21, 2007
Posted: December 21, 2007
Communicated by: Ted Chinburg
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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