An explicit method of construction of a family of abelian varieties each member of which has a large Mordell-Weil rank is given. Also, an example of elliptic curve defined over a function field of one variable such that its Mordell-Weil group is of arbitrarily high rank is constructed.
机构:
Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
Korea Adv Inst Sci & Technol, Math Dept, 291 Daehak Ro, Daejeon 34141, South KoreaUniv Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
机构:
Univ Estado Rio De Janeiro, Inst Matemat & Estat, Rio De Janeiro, RJ, BrazilUniv Estado Rio De Janeiro, Inst Matemat & Estat, Rio De Janeiro, RJ, Brazil