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摘要翻译：
复流形M上的局部系统H可以用两种方式来看待--要么是局部自由束，要么是覆盖空间T=T(H)的并集。当M是一个较大流形中的开集时，由于局部单群，局部系统一般不会扩展。本文给出了局部系统作为解析空间的一个推广，当M的补具有法向交叉奇点，且局部系统沿边界因子是单性的。在相关向量丛的Deligne正则扩张的全空间内取T的闭包，得到解析空间。它不是正常的，但它的归一化是局部的。
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英文标题：
《Canonical extensions of local systems》
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作者：
Christian Schnell
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最新提交年份：
2007
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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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英文摘要：
A local system H on a complex manifold M can be viewed in two ways--either as a locally free sheaf, or as a union of covering spaces T = T(H). When M is an open set in a bigger manifold, the local system will generally not extend, because of local monodromy. This paper proposes an extension of the local system as an analytic space, in the case when the complement of M has normal crossing singularities, and the local system is unipotent along the boundary divisor. The analytic space is obtained by taking the closure of T inside the total space of Deligne's canonical extension of the associated vector bundle. It is not normal, but its normalization is locally toric.
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PDF链接：
https://arxiv.org/pdf/0710.2869
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