A new proof of the nonrationality of cubic threefolds
| dc.creator | Gwena, Tawanda | |
| dc.date | 2002-04-03 | |
| dc.date | 2002-04-04 | |
| dc.date.accessioned | 2026-07-07T04:47:25Z | |
| dc.date.available | 2026-07-07T04:47:25Z | |
| dc.description | A new proof of the non-rationality of a generic cubic threefold is given as follows: If a generic cubic threefold were rational then the associated intermediate Jacobian would be a product of Jacobians of curves. We degenerate a generic cubic threefold to the Segre Cubic Threefold and so there is a degeneration of intermediate Jacobians as well. Associated to the degenerating family of Pryms is a unimodular system of vectors. Rationality of the generic cubic threefold would imply that the unimodular system would be cographic dicing. However, we show that the unimodular system obtained is a well known symmetric non-cographic dicing called E_5. | |
| dc.description | 7 Pages, typo fix | |
| dc.identifier | https://arxiv.org/abs/math/0204041 | |
| dc.identifier | http://arxiv.org/abs/math/0204041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63706 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H40; 14E08 | |
| dc.title | A new proof of the nonrationality of cubic threefolds | |
| dc.type | text |