The Coble hypersurfaces
| dc.creator | Beauville, Arnaud | |
| dc.date | 2003-06-05 | |
| dc.date.accessioned | 2026-07-07T04:58:36Z | |
| dc.date.available | 2026-07-07T04:58:36Z | |
| dc.description | Let A be an indecomposable principally polarized abelian variety of dimension g . Third order theta functions embed A in a projective space P(V_3), while second order theta functions embed the Kummer variety K=A/<-1> in a projective space P(V_2). Coble observed that for g = 2 there is a unique cubic hypersurface in P(V_3) that is singular along A, and for g = 3 a unique quartic hypersurface in P(V_2) singular along K . We explain these facts by a simple analysis of the representations of the corresponding Heisenberg group. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0306097 | |
| dc.identifier | http://arxiv.org/abs/math/0306097 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67705 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The Coble hypersurfaces | |
| dc.type | text |