On threefolds with ${\mathbf K^3=2p_g-6}$
Supino, Paola
Kodai Math. J., Tome 27 (2004) no. 1, p. 7-29 / Harvested from Project Euclid
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It is known that if $X$ is an $n$--dimensional normal variety, and $D$ a nef and big Cartier divisor on it such that the associated map $\varphi_D$ is generically finite then $D^n\geq 2(h^0(X,\Oc_X(D))-n)$. We study the case in which the equality holds for $n=3$ and $D=K_X$ is the canonical divisor. \par We also produce a bound for the admissible degree of the canonical map of a threefold, when it is supposed to be generically finite.
Publié le : 2004-03-14
Classification:  
@article{1085143786,
     author = {Supino, Paola},
     title = {On threefolds with ${\mathbf K^3=2p\_g-6}$},
     journal = {Kodai Math. J.},
     volume = {27},
     number = {1},
     year = {2004},
     pages = { 7-29},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1085143786}
}

Supino, Paola. On threefolds with ${\mathbf K^3=2p_g-6}$. Kodai Math. J., Tome 27 (2004) no. 1, pp.  7-29. http://gdmltest.u-ga.fr/item/1085143786/