An Exponential History of Functions with Logarithmic Growth

Details An Exponential History of Functions with Logarithmic Growth An Exponential History of Functions with Logarithmic Growth

2009-03-30

arxiv.org/abs/0903.4903v2

Mathematics

Algebraic Geometry

97 pages, 10 figures; to appear in Proceedings of MSRI Conference on Topology of Stratified Spaces; substantial revisions with

Scientific paper

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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