The generic finiteness of the $m$-canonical map for 3-folds of general type
Zhu, Lei
Osaka J. Math., Tome 42 (2005) no. 1, p. 873-884 / Harvested from Project Euclid
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Let $X$ be a projective minimal threefold of general type with only $\mathbb{Q}$-factorial terminal singularities. We study the generic finiteness of the $m$-canonial map for such 3-folds. Suppose $P_g(X)\ge 2$ and $q(X)\ge 3$. We prove that the $m$-canonical map is generically finite for $m\ge 3$, which is a supplement to Kollár's result. Suppose $P_g(X)\ge 5$. We prove that the 3-canonical map is generically finite, which improves Meng Chen's result.
Publié le : 2005-12-14
Classification:  
@article{1153494556,
     author = {Zhu, Lei},
     title = {The generic finiteness of the $m$-canonical map for 3-folds of general type},
     journal = {Osaka J. Math.},
     volume = {42},
     number = {1},
     year = {2005},
     pages = { 873-884},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1153494556}
}

Zhu, Lei. The generic finiteness of the $m$-canonical map for 3-folds of general type. Osaka J. Math., Tome 42 (2005) no. 1, pp.  873-884. http://gdmltest.u-ga.fr/item/1153494556/