Which abelian surfaces are products of elliptic curves?
โ Scribed by Frans Oort
- Publisher
- Springer
- Year
- 1975
- Tongue
- English
- Weight
- 995 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let E be an elliptic curve over Q and let F := Q({ โ m ; m โ Z}). Laska and Lorenz showed that there exist at most 31 possibilities for the type of the torsion subgroup E(F ) tors of E over F. In this paper, we showed that there exist exactly 20 possibilities for E(F ) tors .
lGl=p", where n=n,+n,+. , . + n r 2 ) like 1) with apnn=b,, instead of apnn=l. Proof. Let G be a group of order p" with an elementary abelian normal subgroup B for which GIB is cyclic of order p"". Further let aB be a generating element of GIB. Then upnn B. The group (a) suffers from B a representat