The rank of elliptic curves with rational 2-torsion points over large fields

Cited 5 time in webofscience Cited 0 time in scopus
  • Hit : 131
  • Download : 0
Let K be a number field, K an algebraic closure of K, G(K) the absolute Galois group Gal(<(K)overbar >/K), K-ab the maximal abelian extension of K and E/K an elliptic curve defined over K. In this paper, we prove that if all 2-torsion points of E/K are K-rational, then for each sigma epsilon G(K), E((K-ab)(sigma)) has infinite rank, and hence E( K s) has infinite rank
Publisher
AMER MATHEMATICAL SOC
Issue Date
2006
Language
English
Article Type
Article
Citation

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.134, no.6, pp.1623 - 1630

ISSN
0002-9939
DOI
10.1090/S0002-9939-05-08494-7
URI
http://hdl.handle.net/10203/212955
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 5 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0