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We prove the Hausdorff property of the Neron modle of the family ofintermediate Jacobians which is recently defined by Green, Griffiths and Kerrassuming that the divisor at infinity is smooth. Using their result, thisimplies in this case the analyticity of the closure of the zero locus of anadmissible normal function. The last assertion is also obtained by Brosnan andPearlstein generalizing their method in the curve case.

Hausdorff property of the Neron models of Green, Griffiths and Kerr