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摘要翻译：
我们构造的解析Milnor纤维是经典拓扑Milnor纤维的非阿基米德模型。本文用严格半稳定模型描述了解析Milnor光纤的同伦型，并证明了它的奇异上同调与附近上同调上混合Hodge结构的零重部分重合。对于Denef和Loeser的motivic Milnor纤维，我们在严格半稳定模型下给出了类似的表达式。
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英文标题：
《Singular cohomology of the analytic Milnor fiber, and mixed Hodge
structure on the nearby cohomology》
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作者：
Johannes Nicaise
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最新提交年份：
2008
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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：
We constructed the analytic Milnor fiber is a non-archimedean model of the classical topological Milnor fibration. In the present paper, we describe the homotopy type of the analytic Milnor fiber in terms of a strictly semi-stable model, and we show that its singular cohomology coincides with the weight zero part of the mixed Hodge structure on the nearby cohomology. We give a similar expression for Denef and Loeser's motivic Milnor fiber in terms of a strictly semi-stable model.
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PDF链接：
https://arxiv.org/pdf/0710.0330
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