摘要翻译：
设f(x，y)=0是定义在原点邻域内的平面解析曲线方程，设$\pi:m\to(\cn^2,0)$是局部的曲面修正。我们给出了一个公式，它将若干个双点\delta_0(f)$与一个和$\sum_p\delta_p(\tildeF)$连接起来，该和$\sum_p\delta_p(\tildeF)$在f=0的适当前像与例外除数的所有交点上运行。
---
英文标题：
《Kouchnirenko type formulas for local invariants of plane analytic curves》
---
作者：
Janusz Gwozdziewicz
---
最新提交年份：
2007
---
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
--

---
英文摘要：
  Let f(x,y)=0 be an equation of plane analytic curve defined in the neighborhood of the origin and let $\pi:M\to(\Cn^2,0)$ be a local toric modification. We give a formula which connects a number of double points \delta_0(f)$ with a sum $\sum_p \delta_p(\tilde f)$ which runs over all intersection points of the proper preimage of f=0 with the exceptional divisor.
---
PDF链接：
https://arxiv.org/pdf/0707.3404