再论代数K理论中的切除
Excision in algebraic K-theory revisited
摘要：
根据Suslin的一个定理，在代数K理论中，Tor-unital（不一定是unital）环满足切除.本文利用完备模范畴的正合序列给出了Suslin结果的一个新的直接证明。事实上，我们证明了一个更一般的下降结果的拉回广场的环谱和任何本地化不变量。除了Suslin的结果外，本文还包含了仿射格式的代数K理论的Nisnevich下降。此外，Tor-unitality条件的作用变得非常透明。
英文摘要：
By a theorem of Suslin, a Tor-unital (not necessarily unital) ring satisfies excision in algebraic K-theory. We give a new and direct proof of Suslin's result based on an exact sequence of categories of perfect modules. In fact, we prove a more general descent result for a pullback square of ring spectra and any localizing invariant. Besides Suslin's result, this also contains Nisnevich descent of algebraic K-theory for affine schemes as a special case. Moreover, the role of the Tor-unitality condition becomes very transparent.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
