A direct algorithm to compute the topological Euler characteristic and Chern-Schwartz-MacPherson class of projective complete intersection varieties
A direct algorithm to compute the topological Euler characteristic and Chern-Schwartz-MacPherson class of projective complete intersection varieties
复制标题
计算拓扑欧拉特性和射影完全交集 Chern-Schwartz-MacPherson 类的直接算法
DOI：
10.1016/j.tcs.2017.03.029
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
M. Helmer
中科院分区：
文献类型：
--
作者：
M. Helmer
设V是特征为0的代数闭域上pn的可能奇异方案论完全交子方案。利用Fullwood的最新结果（“On Milnor classes via invariants of singular subscheme”，Journal of singularity），我们开发了一种计算v的chen - schwartz - macpherson类和Euler特征的算法。该算法通过提高计算某些类型的pn的完全相交子方案的chen - schwartz - macpherson类和Euler特征的性能来补充现有算法。
Let V be a possibly singular scheme-theoretic complete intersection subscheme of P n over an algebraically closed field of characteristic zero. Using a recent result of Fullwood (“On Milnor classes via invariants of singular subschemes”, Journal of Singularities) we develop an algorithm to compute the Chern–Schwartz–MacPherson class and Euler characteristic of V. This algorithm complements existing algorithms by providing performance improvements in the computation of the Chern–Schwartz–MacPherson class and Euler characteristic for certain types of complete intersection subschemes of P n.