Name
Abstract | ||
|---|---|---|
We prove: Let A be an abelian variety over a number field K. Then K has a finite Galois extension L such that for almost all @s@?Gal(L) there are infinitely many prime numbers l with A"l(K@?(@s))0. Here K@? denotes the algebraic closure of K and K@?(@s) the fixed field in K@? of @s. The expression ''almost all @s'' means ''all but a set of @s of Haar measure 0''. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.ffa.2004.02.004 | Finite Fields and Their Applications |
Keywords | Field | DocType |
prime numbers l,fixed field,algebraic closure,number field k.,abelian variety,large algebraic field,finite galois extension,haar measure,galois extension,prime number | Combinatorics,Abelian extension,Algebra,Algebraic closure,Genus field,Abelian variety,Galois extension,Algebraic element,Arithmetic of abelian varieties,Field (mathematics),Mathematics | Journal |
Volume | Issue | ISSN |
11 | 1 | 1071-5797 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wulf-Dieter Geyer | 1 | 0 | 0.68 |
| Moshe Jarden | 2 | 1 | 1.73 |