摘要翻译:
本文将B.Gross在{G}中所考虑的Hodge结构在管域上的正则极化变分的构造推广到有界对称域,并引入了Hodge结构的无穷小变分的一系列不变量,我们称之为特征子变分。我们证明了在不可约有界对称域上Hodge结构的正则极化变式的特征子变式是由N.Mok在{M}中定义的特征丛所识别的。我们证明了B.Gross对于所有不可约有界对称域的生成性质,该性质在\cite{G}中得到了预言。
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英文标题:
《Polarized Variation of Hodge Structures of Calabi-Yau Type and
Characteristic Subvarieties Over Bounded Symmetric Domains》
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作者:
Mao Sheng and Kang Zuo
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最新提交年份:
2011
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Mathematics 数学
二级分类:Representation Theory 表象理论
分类描述:Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra
代数和群的线性表示,李理论,结合代数,多重线性代数
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英文摘要:
In this paper we extend the construction of the canonical polarized variation of Hodge structures over tube domain considered by B. Gross in \cite{G} to bounded symmetric domain and introduce a series of invariants of infinitesimal variation of Hodge structures, which we call characteristic subvarieties. We prove that the characteristic subvariety of the canonical polarized variations of Hodge structures over irreducible bounded symmetric domains are identified with the characteristic bundles defined by N. Mok in \cite{M}. We verified the generating property of B. Gross for all irreducible bounded symmetric domains, which was predicted in \cite{G}.
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PDF链接:
https://arxiv.org/pdf/0705.3779