Reducible hyperplane sections of threefolds: two components of sectional genus zero

Lanteri, Antonio; Tironi, Andrea Luigi

Kodai Math. J., Tome 27 (2004) no. 1, p. 299-320 / Harvested from Project Euclid

Résumé

By using adjunction theory, we describe the smooth complex projective threefolds admitting a simple normal crossing divisor of the form $A+B$ among their hyperplane sections, both components $A$ and $B$ being smooth surfaces with sectional genus $0$, and one of them being nef or at worst an exceptional divisor of the first reduction mapping.

Publié le : 2004-10-14
Classification:

@article{1104247353,
     author = {Lanteri, Antonio and Tironi, Andrea Luigi},
     title = {Reducible hyperplane sections of threefolds: two components of sectional genus zero},
     journal = {Kodai Math. J.},
     volume = {27},
     number = {1},
     year = {2004},
     pages = { 299-320},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1104247353}
}

Lanteri, Antonio; Tironi, Andrea Luigi. Reducible hyperplane sections of threefolds: two components of sectional genus zero. Kodai Math. J., Tome 27 (2004) no. 1, pp.  299-320. http://gdmltest.u-ga.fr/item/1104247353/