Infinitesimal variations of Hodge structure and the global Torelli problem
Infinitesimal variations of Hodge structure and the global Torelli problem
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Hodge 结构的无穷小变化和全局 Torelli 问题
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
P. Griffiths
中科院分区：
文献类型：
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作者：
J. Carlson;P. Griffiths
本文的目的是引入Hodge结构的无穷小变分作为研究全局Torelli问题的工具。虽然我们的技术到目前为止只在特殊情况下取得了成果，但令我们感到鼓舞的是，我们第一次能够在霍奇理论分类空间不是厄米对称的情况下计算周期映射的次数，就像在曲线、K − 3曲面和三次三重曲面的标准例子中那样。因此，我们的具体目标是证明以下内容：
The aim of this report is to introduce the infinitesimal variation of Hodge structure as a tool for studying the global Torelli problem. Although our techniques have so far borne fruit only in special cases, we are encouraged by the fact that for the first time we are able to calculate the degree of the period mapping when the Hodge-theoretic classifying space is not hermitian symmetric, as it is in the standard examples of curves, K − 3 surfaces, and cubic threefolds. Our specific goal is therefore to prove the following: