Quotients of E^n by A_{n+1} and Calabi-Yau manifolds
| dc.creator | Paranjape, Kapil | |
| dc.creator | Ramakrishnan, Dinakar | |
| dc.date | 2004-11-13 | |
| dc.date | 2005-04-21 | |
| dc.date.accessioned | 2026-07-07T05:14:19Z | |
| dc.date.available | 2026-07-07T05:14:19Z | |
| dc.description | We give a simple construction, starting with any elliptic curve E, of an n-dimensional Calabi-Yau variety of Kummer type (for any n>1), by considering the quotient Y of the n-fold self-product of E by a natural action of the alternating group A_{n+1} (in n+1 variables). The vanishing of H^m(Y, O_Y) for 0<m<n follows from the non-existence of (non-zero) fixed points in certain representations of A_{n+1}. For n<4 we provide an explicit crepant resolution X in characteristics different from 2,3. The key point is that Y can be realized as a double cover of P^n branched along a hypersurface of degree 2(n+1). | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411310 | |
| dc.identifier | http://arxiv.org/abs/math/0411310 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73228 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 11G10, 14J28, 14J32, 20C30 | |
| dc.title | Quotients of E^n by A_{n+1} and Calabi-Yau manifolds | |
| dc.type | text |