On certain families of elliptic curves in projective space
| dc.creator | Dolgachev, Igor V. | |
| dc.date | 2002-05-17 | |
| dc.date | 2002-06-13 | |
| dc.date.accessioned | 2026-07-07T04:48:34Z | |
| dc.date.available | 2026-07-07T04:48:34Z | |
| dc.description | We study families of elliptic curves of degree n+1 in $P^n$ containing a fixed set of m points. In the case m = n+3 we show that this family is birationally isomorphic to a smooth complete intersection of n-2 diagonal quadrics in $P^{n+2}$. We also describe an action of the 2-elementary abelian group $2^{n+2}$ on this family via Cremona transformations in $P^n$. | |
| dc.description | 15 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0205197 | |
| dc.identifier | http://arxiv.org/abs/math/0205197 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64098 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On certain families of elliptic curves in projective space | |
| dc.type | text |