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

Abstract

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.

arXiv comment16 pages, title is changed

Cited by in corpus (8)

• An Exponential History of Functions with Logarithmic Growth
• A generalization of the Neron models of Green, Griffiths and Kerr
• Neron models of Green-Griffiths-Kerr and log Neron models
• Moduli of log mixed Hodge structures
• Curves and cycles on K3 surfaces
• A variant of Neron models over curves
• Analyticity of the closures of some Hodge theoretic subspaces
• On the zero locus of normal functions and the étale Abel-Jacobi map