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arXiv · 0903.4903

An Exponential History of Functions with Logarithmic Growth

Matt Kerr·Gregory Pearlstein
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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.

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Matt Kerr, Gregory Pearlstein. 2009-08-26. An Exponential History of Functions with Logarithmic Growth. https://arxiv.org/abs/0903.4903

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