循环同调与 $K$-理论的 Pro cdh-下降
K理论与同调
2019-02-20 v3 代数几何
摘要
本文证明了循环同调、拓扑循环同调和代数 -理论在零特征和有限特征下，关于抽象簇的爆破平方均满足 pro Mayer--Vietoris 性质。这可被解释为具有紧支集的 -理论的良定性。
引用
@article{arxiv.1211.1813,
title = {Pro cdh-descent for cyclic homology and $K$-theory},
author = {Matthew Morrow},
journal= {arXiv preprint arXiv:1211.1813},
year = {2019}
}
备注
This is a substantial replacement of the earlier version, whose contents have been expanded and divided into three disjoint papers: arXiv:1404.4179, the current paper, and arXiv:1404.4649. In particular, the proof of pro cdh-descent of $K$-theory has been extended to finite characteristic