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The rank of abelian varieties over large algebraic fields

✍ Scribed by Wulf-Dieter Geyer; Moshe Jarden


Publisher
Springer
Year
2006
Tongue
English
Weight
119 KB
Volume
86
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES


The Rank of Abelian Varieties over Infin
✍ Michael Rosen; Siman Wong πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 151 KB

asked if every Abelian variety A defined over a number field k with dim A > 0 has infinite rank over the maximal Abelian extension k ab of k. We verify this for the Jacobians of cyclic covers of P 1 , with no hypothesis on the Weierstrass points or on the base field. We also derive an infinite rank