The relative pluricanonical stability for 3-folds of general type
Algebraic Geometry
2007-05-23 v3
Abstract
This paper aims to improve a theorem of Janos Kollar. For a given Complex projective threefold X of general type, suppose the plurigenus p_k(X)\ge 2, Kollar proved that the (11k+5)-canonical map is birational. Here we show that either the (7k+3)-canonical map or the (7k+5)-canonical map is birational and that the m-canonical map is stably birational for m\ge 13k+6. If P_k(X)\ge 3, then the m-canonical map is stably birational for m\ge 10k+8. In particular, the 12-canonical map is birational when p_g(X)\ge 2 and the 11-canonical map is birational when p_g(X)\ge 3.
Keywords
Cite
@article{arxiv.math/9902047,
title = {The relative pluricanonical stability for 3-folds of general type},
author = {Meng Chen},
journal= {arXiv preprint arXiv:math/9902047},
year = {2007}
}
Comments
11 pages, new version, Amstex, to appear in Proceedings AMS