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摘要翻译：
我们给出了具有孤立奇点的复代数曲面的例子，使得这些奇点不是度量圆锥的，即奇点附近曲面的芽相对于内度量不是锥的双Lipschitz等价的。证明度量二次曲线结构不存在的技术与度量同调的发展有关。例子的类别相当大，它包括一些Brieskorn曲面。
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英文标题：
《Inner Metric Geometry of Complex Algebraic Surfaces with Isolated
Singularities》
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作者：
Lev Birbrair, Alexandre Fernandes
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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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一级分类：Mathematics 数学
二级分类：Algebraic Topology 代数拓扑
分类描述：Homotopy theory, homological algebra, algebraic treatments of manifolds
同伦理论，同调代数，流形的代数处理
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英文摘要：
We produce examples of complex algebraic surfaces with isolated singularities such that these singularities are not metrically conic, i.e. the germs of the surfaces near singular points are not bi-Lipschitz equivalent, with respect to the inner metric, to cones. The technique used to prove the nonexistence of the metric conic structure is related to a development of Metric Homology. The class of the examples is rather large and it includes some surfaces of Brieskorn.
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PDF链接：
https://arxiv.org/pdf/0705.3185
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