An Exponential History of Functions with Logarithmic Growth
Algebraic Geometry
2009-08-27 v2
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.
Keywords
Cite
@article{arxiv.0903.4903,
title = {An Exponential History of Functions with Logarithmic Growth},
author = {Matt Kerr and Gregory Pearlstein},
journal= {arXiv preprint arXiv:0903.4903},
year = {2009}
}
Comments
97 pages, 10 figures; to appear in Proceedings of MSRI Conference on Topology of Stratified Spaces; substantial revisions with new results on Neron models included