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摘要翻译：
研究了具有两个规定类型奇异点的平面曲线的等奇异层。将前文[Kerner06]的方法推广到这种情况。特别地，我们考虑了具有两个线性奇异点的平面曲线的枚举问题。首先解决了固定重数的两个普通重点的问题。然后将任意线性类型的枚举归结为普通多点的情形，归结为奇异点“合并”的理解。给出了许多实例和数值解答。
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英文标题：
《On the enumeration of complex plane curves with two singular points》
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作者：
Dmitry Kerner
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最新提交年份：
2010
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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 study equi-singular strata of plane curves with two singular points of prescribed types. The method of the previous work [Kerner06] is generalized to this case. In particular we consider the enumerative problem for plane curves with two singular points of linear singularity types. First the problem for two ordinary multiple points of fixed multiplicities is solved. Then the enumeration for arbitrary linear types is reduced to the case of ordinary multiple points and to the understanding of "merging" of singular points. Many examples and numerical answers are given.
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PDF链接：
https://arxiv.org/pdf/0708.1229
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