发表机构
Mathematical Institute, Tohoku University(东北大学数学研究所)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
该研究为完全交簇的Milnor纤维与单值化的层论研究奠定基础,阐明Verdier特殊化层结构,结合Thom条件推导非孤立奇点完全交簇的欧拉障碍公式。
AI 中文摘要
为建立完全交簇的Milnor纤维与单值化的层论研究基础,我们阐明与它们相关的Verdier特殊化层的结构;假设某方向满足Thom条件,将得到关于这些层的若干基本结果,随后应用这些结果推导具有非孤立奇点的完全交簇的欧拉障碍公式。
英文摘要
To establish a basis of the sheaf theoretical study of the Milnor fibers and monodromies of complete intersection varieties, we clarify the structures of the Verdier specialization sheaves associated to them. Assuming the Thom condition in a direction, some basic results on them will be obtained. Then we apply them to obtain formulas for the Euler obstructions of complete intersection varieties having non-isolated singular points.
Comments33 pages