On a Verdier-type Riemann–Roch for Chern–Schwartz–MacPherson class
On a Verdier-type Riemann–Roch for Chern–Schwartz–MacPherson class
复制标题
关于 Chern-Schwartz-MacPherson 类的 Verdier 型 Riemann-Roch
DOI：
10.1016/s0166-8641(98)00037-6
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发表时间：
1999
影响因子：
0.6
通讯作者：
Shoji Yokura
中科院分区：
文献类型：
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作者：
Shoji Yokura
我们证明了在光滑态射的情况下，对于chen - schwartz - macpherson变换C∗:F→a∗，一个verdier型Riemann-Roch公式成立，但对于一般的局部完全交态射，它并不成立。我们证明了欧拉局部完全交态射有一个合理的问题，它的非常特殊的情况只不过是比较chen - schwartz - macpherson类和Fulton的正则类的问题，这似乎需要米尔诺数的推广。
We show that a Verdier-type Riemann–Roch formula holds for the Chern–Schwartz–MacPherson transformation C∗: F →A∗in the case of smooth morphisms, but that it does not hold for local complete intersection morphisms in general. And we show that for Euler local complete intersection morphisms there is a reasonable problem and that its very special case turns out to be nothing but the problem of comparing Chern–Schwartz–MacPherson class and Fulton's canonical class, which seems to require a generalization of the Milnor number.