Kaledin退化定理与拓扑霍赫希尔德同调
Kaledin's degeneration theorem and topological Hochschild homology
摘要：
本文给出了关于非交换Hodge-to-de-Rham谱序列退化的Kaledin定理的一个简短证明。我们的方法是基于拓扑霍赫希尔德同调和分圆谱理论。因此，我们也得到相对版本的退化定理，无论是在特征零和经常基地的特征$p$。
英文摘要：
We give a short proof of Kaledin's theorem on the degeneration of the noncommutative Hodge-to-de Rham spectral sequence. Our approach is based on topological Hochschild homology and the theory of cyclotomic spectra. As a consequence, we also obtain relative versions of the degeneration theorem, both in characteristic zero and for regular bases in characteristic $p$.
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。
