  We prove the Hausdorff property of the Neron modle of the family of
intermediate Jacobians which is recently defined by Green, Griffiths and Kerr
assuming that the divisor at infinity is smooth. Using their result, this
implies in this case the analyticity of the closure of the zero locus of an
admissible normal function. The last assertion is also obtained by Brosnan and
Pearlstein generalizing their method in the curve case.
