On the Q-divisor method and its application

Meng Chen

On the Q-divisor method and its application

Algebraic Geometry 2007-05-23 v5

Authors: Meng Chen

Abstract

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.

Keywords

log canonical geometry nef and ample line bundles del pezzo surfaces

Cite

@article{arxiv.math/9904005,
  title  = {On the Q-divisor method and its application},
  author = {Meng Chen},
  journal= {arXiv preprint arXiv:math/9904005},
  year   = {2007}
}

Comments

14 pages, ALatex, the final version, accepted for publication by Journal of Pure and Applied Algebra

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