A comparison theorem in homological algebra
主 题: A comparison theorem in homological algebra
报告人: Dr. Xiaowen Hu (BICMR, PKU)
时 间: 2015-11-16 14:00 - 15:00
地 点: Room 29 at Quan Zhai, BICMR
We show that if a homomorphism between two chain complexes of free abelian groups $K$ and $L$ becomes a quasi-isomorphism after tensoring any finite abelian group, and if the homology groups of $L$ are finitely generated, then the homology groups of $K$ have relatively simple structures. As an application, we obtain a structure theorem for the Suslin homology of complex varieties.