Sextic Double Solids
| dc.creator | Cheltsov, Ivan | |
| dc.creator | Park, Jihun | |
| dc.date | 2004-04-26 | |
| dc.date | 2005-05-13 | |
| dc.date.accessioned | 2026-07-07T05:07:42Z | |
| dc.date.available | 2026-07-07T05:07:42Z | |
| dc.description | We prove non-rationality and birational super-rigidity of a Q-factorial double cover X of P^3 ramified along a sextic surface with at most simple double points. We also show that the condition #|Sing(X)| < 15 implies Q-factoriality of X. In particular, every double cover of P^3 with at most 14 simple double points is non-rational and not birationally isomorphic to a conic bundle. All the birational transformations of X into elliptic fibrations and into Fano 3-folds with canonical singularities are classified. We consider some relevant problems over fields of finite characteristic. When X is defined over a number field F we prove that the set of rational points on the 3-fold X is potentially dense if Sing(X) is not empty. | |
| dc.description | 53 pages | |
| dc.identifier | https://arxiv.org/abs/math/0404452 | |
| dc.identifier | http://arxiv.org/abs/math/0404452 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70964 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14E05; 14E08; 14G15; 14J17; 14J45 | |
| dc.title | Sextic Double Solids | |
| dc.type | text |