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arXiv 0903.4903math.AG
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对数增长函数的指数历史

An Exponential History of Functions with Logarithmic Growth

Matt Kerr, Gregory Pearlstein

摘要:

本文综述了正规函数的最新研究成果,包括容许正规函数的极限和奇异性,Hodge猜想的Griffiths-Green方法,正规函数的零轨迹的代数性,Neron模型和Mumford-Tate群。一些材料和许多例子,特别是在sec。5-6是原创。前两个部分应该容易为研究生所用。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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