An Exponential History of Functions with Logarithmic Growth

2009/03/30 by Matt Kerr, Kerr, Matt, Gregory Pearlstein +1 · 1 citation
Mathematics · #14C25 #14C30 #14D06 #14D07 #32G20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.0903.4903

openalex publication_date 2009/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We survey recent work on normal functions, including limits and singularities of admissible normal functions, the Griffiths-Green approach to the Hodge conjecture, algebraicity of the zero-locus of a normal function, Neron models, and Mumford-Tate groups. Some of the material and many of the examples, esp. in sec. 5-6, are original. The first two sections should be easily accessible to graduate students.

Citations

• Hausdorff property of the Neron models of Green, Griffiths and Kerr
• Local duality and mixed Hodge modules
• Log intermediate Jacobians

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• A note on higher Green's functions

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