On a characterization of a Jacobian variety

Abstract

Let jg be a Jacobian variety o f a complete non-singular curve F, p b e a canonical mapping o f r into J and let e be a canonical divisor corresponding to p(r). It is known, in the classical case, that Oui Oug _i is numerically equivalent to ( g -1 ) ! p ( r ) and the self-intersection number o f 0 is g ! . Originally these are due to 'Au) = A W (u)-W (u 0 )) + c ,