Rational connectedness modulo the Non-nef locus
| dc.creator | Broustet, Amaël | |
| dc.creator | Pacienza, Gianluca | |
| dc.date | 2009-01-28 | |
| dc.date.accessioned | 2026-07-07T12:35:14Z | |
| dc.date.available | 2026-07-07T12:35:14Z | |
| dc.description | It is well known that a smooth projective Fano variety is rationally connected. Recently Zhang (and later Hacon and McKernan as a special case of their work on the Shokurov RC-conjecture) proved that the same conclusion holds for a klt pair $(X,\D)$ such that $-(K_X+\D)$ is big and nef. We prove here a natural generalization of the above result by dropping the nefness assumption. Namely we show that a klt pair $(X,\D)$ such that $-(K_X+\D)$ is big is rationally connected modulo the non-nef locus of $-(K_X+\D)$. This result is a consequence of a more general structure theorem for arbitrary pairs $(X,\D)$ with $-(K_X+\D)$ pseff. | |
| dc.identifier | https://arxiv.org/abs/0901.4494 | |
| dc.identifier | http://arxiv.org/abs/0901.4494 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217702 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J40 | |
| dc.title | Rational connectedness modulo the Non-nef locus | |
| dc.type | text |