素数特征下的加法函数组的同调
K理论与同调
2026-03-10 v3
摘要
我们计算以 Z/p 线性可加范畴 A 到向量空间的全函数组类别中的某些 Ext 和 Tor 群，以此表述以 A 到向量空间的加法函数组子范畴中计算的 Ext 和 Tor。我们因此获得了一般线性组的同调计算。
引用
@article{arxiv.2407.10522,
title = {The homology of additive functors in prime characteristic},
author = {Aurélien Djament and Antoine Touzé},
journal= {arXiv preprint arXiv:2407.10522},
year = {2026}
}
备注
This preprint reworks a part of the material of our previous preprint ''Functor homology over an additive category'' (hal-03432824 or arXiv:2111.09719), which is being completely reorganized