Extensions of Formal Hodge Structures

Extensions of Formal Hodge Structures
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形式 Hodge 结构的扩展

DOI:
10.1080/00927871003705575
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发表时间:
2009
影响因子:
0.7
通讯作者:
N. Mazzari
N. Mazzari
中科院分区:
数学3区
文献类型:
--
作者:
N. Mazzari

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本文根据Barbieri-Viale关于Level ≤1的讨论,定义了Level ≤n的形式Hodge结构范畴,并研究了其性质.作为一个应用程序,我们描述了广义阿尔巴尼亚各种Esnault,Srinivas和Viehweg通过组Ext 1中。这个公式将经典公式推广到真复簇但不一定光滑的情形。
We define and study the properties of the category of formal Hodge structure of level ≤n following the ideas of Barbieri-Viale who discussed the case of level ≤1. As an application, we describe the generalized Albanese variety of Esnault, Srinivas, and Viehweg via the group Ext1 in . This formula generalizes the classical one to the case of proper but not necessarily smooth complex varieties.