Subvarieties of general type on a general projective hypersurface
Pacienza, Gianluca
HAL, hal-00127019 / Harvested from HAL
Text on HAL
We study subvarieties of a general projective degree $d$ hypersurface $X_d\subset \mathbf P^n$. Our main theorem, which improves previous results of L. Ein and C. Voisin, implies in particular the following sharp corollary: any subvariety of a general hypersurface $X_{d}\subset {\mathbf P}^n$, for $n\geq 6$ and $d\geq 2n-2$, is of general type.
Publié le : 2004-07-05
Classification:  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00127019,
     author = {Pacienza, Gianluca},
     title = {Subvarieties of general type on a general projective hypersurface},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00127019}
}

Pacienza, Gianluca. Subvarieties of general type on a general projective hypersurface. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00127019/