论文标题
交叉理论和切尔恩的班级阶层
Intersection theory and Chern classes in Bott-Chern cohomology
论文作者
论文摘要
在本文中，我们研究了Grivaux引入的公理方法，用于研究理性的Bott-Chern共同体，并在这种情况下使用它来定义Chern类别的相干滑轮类别。这种方法还允许我们得出一个riemann-Roch-grothendieck公式，以在光滑的复杂紧凑型歧管之间进行投射形态。
In this article, we investigate an axiomatic approach introduced by Grivaux for the study of rational Bott-Chern cohomology, and use it in that context to define Chern classes of coherent sheaves. This method also allows us to derive a Riemann-Roch-Grothendieck formula for a projective morphism between smooth complex compact manifolds.
