Voevodsky's slice conjectures via Hilbert schemes
K-Theory and Homology
2021-07-06 v2 Algebraic Geometry
Algebraic Topology
Abstract
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.
Cite
@article{arxiv.1912.01595,
title = {Voevodsky's slice conjectures via Hilbert schemes},
author = {Tom Bachmann and Elden Elmanto},
journal= {arXiv preprint arXiv:1912.01595},
year = {2021}
}
Comments
accepted for publication in Algebraic Geometry