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arXiv:math/9904005 [math.AG]AbstractReferencesReviewsResources

On the Q-divisor method and its application

Meng Chen

Published 1999-04-02, updated 2003-11-11Version 5

For smooth projective 3-folds of general type, we prove that the relative canonical stability $\mu_s(3)\leq 8$. This is induced from our improved result of Koll\'ar: the m-canonical map of a smooth projective 3-fold of general type is birational whenever $m\geq 5k+6$, provided $P_k(X)\geq 2$. The Q-divisor method is intensively developed to prove our results.

Comments: 14 pages, ALatex, the final version, accepted for publication by Journal of Pure and Applied Algebra
Categories: math.AG
Subjects: 14E05
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