THE MORDELL-WEIL GROUP OF CERTAIN ABELIAN VARIETIES DEFINED OVER THE RATIONAL FUNCTION FIELD

Abstract

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.