论文标题
改进的新交叉点定理被重新审视
The Improved New Intersection Theorem revisited
论文作者
论文摘要
我们证明了Evans和Griffith的一般版本，并改善了新的交叉点理论：如果我成为本地环R的理想。这改善了我在2018年获得的Avramov，Iyengar和Neeman获得的HT。
We prove a generalized version of Evans and Griffith's Improved New Intersection Theorem: Let I be an ideal in a local ring R. If a finite free R-complex, concentrated in nonnegative degrees, has I-torsion homology in positive degrees, and the homology in degree 0 has an I-torsion minimal generator, then the length of the complex is at least dim R - dim R/I. This improves the bound ht I obtained by Avramov, Iyengar, and Neeman in 2018.
