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

2008/03/19 by Morihiko Saito, Saito, Morihiko · 2 citations
Mathematics · Physics and Astronomy · #32S40 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0803.2771

openalex publication_date 2008/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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