摘要翻译：
本文给出了可动线性方程组在非正则奇点孤立中心处自交的局部不等式&$8n^2$-不等式的完整证明。I.Cheltsov提出并多次发表了这个不等式，但他的一些论点是错误的。我们解释错误，并用正确的论点代替有缺陷的部分。
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英文标题：
《On the $8n^2$-inequality》
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作者：
Aleksandr Pukhlikov
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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 give a complete proof of the so called $8n^2$-inequality, a local inequality for the self-intersection of a movable linear system at an isolated centre of a non canonical singularity. The inequality was suggested and several times published by I.Cheltsov but some of his arguments are faulty. We explain the mistake and replace the faulty piece by a correct argument.
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PDF链接：
https://arxiv.org/pdf/0811.0183