通过希尔伯特方案的Voevodsky的切片猜想。

arXiv: K-Theory and Homology Pub Date : 2019-12-03 DOI:10.14231/AG-2021-019

Tom Bachmann, E. Elmanto

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引用次数: 2

摘要

利用动力无限环空间理论的最新进展，我们用Hilbert格式的双族几何对Voevodsky关于切片滤波的一些猜想进行了简短的概念性的反驳。最初的证明是由于马克·莱文使用了非常不同的方法，即同伦conveau塔。

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Voevodsky's slice conjectures via Hilbert schemes.

Using recent development in motivic infinite loop space theory, we offer short and conceptual reproofs of some conjectures of Voevodsky's on the slice filtration using the birational geometry of Hilbert schemes. The original proofs were due to Marc Levine using very different methods, namely, the homotopy coniveau tower.

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arXiv: K-Theory and Homology

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