The Singularities of the parameter surface of a minimal elliptic threefold
| dc.creator | Grassi, A. | |
| dc.date | 1992-02-21 | |
| dc.date.accessioned | 2026-07-07T09:05:42Z | |
| dc.date.available | 2026-07-07T09:05:42Z | |
| dc.description | Let f : X -> S be any elliptic fibration. If X has dimension 3 and is not uniruled, then X has a minimal model (with terminal singularities) [Mori]. In earlier work we have shown that there exists a birationally equivalent elliptic fibration p: Y -> T such that Y is minimal and a multiple of K_Y can be expressed as the pullback of a divisor from T. Moreover T has at worst quotient singularities; it is not difficult to find examples where T is actually singular. In this paper we describe the singularities of this parameter surface T in the case of no multiple fibers. Although T is not uniquely determined by the birational equivalence class of the fibration, any two such T are related by a particular kind of birational map. | |
| dc.description | 27 pages AmS-Tex 2.0 (plus 3 figures in LaTex) | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9202025 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9202025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149766 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The Singularities of the parameter surface of a minimal elliptic threefold | |
| dc.type | text |