On Contractions of smooth varieties
| dc.creator | Andreatta, Marco | |
| dc.creator | Wiśniewski, Jarosław A. | |
| dc.date | 1996-05-23 | |
| dc.date.accessioned | 2026-07-07T09:06:49Z | |
| dc.date.available | 2026-07-07T09:06:49Z | |
| dc.description | Let $\f: X \ra Z$ be a proper surjective map from a smooth complex manifold $X$ onto a normal variety $Z$. If $\f$ has connected fibers and $-K_X$ is $\f$-ample then $\f$ is called a good contraction. In the present paper we study good contractions, fibers of which have dimension less or equal than two: after describing possible two dimensional isolated fibers we discuss their scheme theoretic structure and the geometry of $\f:X\ra Z$ nearby such a fiber. If $dimX=4$ and $\f$ is birational with an isolated 2 dimensional fiber then we obtain a complete description of $\f$. We provide also a description of a 4 dimensional conic fibration with an isolated fiber which is either a plane or a quadric. We construct pertinent examples. | |
| dc.description | PlainTex, 58 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9605013 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9605013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150151 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E30 | |
| dc.title | On Contractions of smooth varieties | |
| dc.type | text |