论文标题
均质基本孤立决定性品种的特征类别
Characteristic Classes of Homogeneous Essential Isolated Determinantal Varieties
论文作者
论文摘要
(同质)基本分离的决定性品种是通用决定性品种的自然概括,并且是研究非分离奇点的基本典型。在本文中,我们研究了这些品种的特征类别。我们通过标准的舒伯特演算说,我们提供了其Chern-Schwartz-Macpherson课程和Chern-Mather课程的明确公式。作为推论,我们获得了其(通用的)部分Euler特征,特征周期和极性类别的公式。
The (homogeneous) Essentially Isolated Determinantal Variety is the natural generalization of generic determinantal variety, and is fundamental example to study non-isolated singularities. In this paper we study the characteristic classes on these varieties. We give explicit formulas of their Chern-Schwartz-MacPherson classes and Chern-Mather classes via standard Schubert calculus. As corollaries we obtain formulas for their (generic) sectional Euler characteristics, characteristic cycles and polar classes.