论文标题
具有完整相交同源性的差分模块
Differential Modules with Complete Intersection Homology
论文作者
论文摘要
差异模块是复合物的天然概括。在本文中，我们研究了具有完整相交同源性的差异模块，将这些差异模块的理论与Koszul复合物的理论进行了比较和对比。我们构建了一个Koszul差异模块，该模块将经典的Koszul复合物直接概括，并研究Koszul复合物的哪些特性可以推广到此设置。
Differential modules are natural generalizations of complexes. In this paper, we study differential modules with complete intersection homology, comparing and contrasting the theory of these differential modules with that of the Koszul complex. We construct a Koszul differential module that directly generalizes the classical Koszul complex and investigate which properties of the Koszul complex can be generalized to this setting.
