Varieties of small degree with respect to codimension and ample vector bundles

LANTERI, Antonio; NOVELLI, Carla

J. Math. Soc. Japan, Tome 60 (2008) no. 1, p. 341-361 / Harvested from Project Euclid

Résumé

Let $\mathscr{E}$ be an ample vector bundle on a projective manifold $X$ , with a section vanishing on a smooth subvariety $Z$ of the expected dimension, and let $H$ be an ample line bundle on $X$ inducing a very ample ample line bundle $H_Z$ on $Z$ . Triplets $(X, \mathscr{E}, H)$ as above are classified assuming that $Z$ , embedded by $|H_Z|$ , is a variety of small degree with respect to codimension.

Publié le : 2008-04-15
Classification: ample vector bundles, special varieties, $\Delta$-genus, adjunction theory, Fano manifolds, classification, 14J60, 14F05, 14C20, 14J40, 14N30

@article{1212156654,
     author = {LANTERI, Antonio and NOVELLI, Carla},
     title = {Varieties of small degree with respect to codimension and ample vector bundles},
     journal = {J. Math. Soc. Japan},
     volume = {60},
     number = {1},
     year = {2008},
     pages = { 341-361},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1212156654}
}

LANTERI, Antonio; NOVELLI, Carla. Varieties of small degree with respect to codimension and ample vector bundles. J. Math. Soc. Japan, Tome 60 (2008) no. 1, pp.  341-361. http://gdmltest.u-ga.fr/item/1212156654/