Voevodsky's slice conjectures via Hilbert schemes

Bachmann, Tom and Elmanto, Elden (2021): Voevodsky's slice conjectures via Hilbert schemes. In: Algebraic Geometry, Vol. 8, No. 5: pp. 626-636

Abstract

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

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 2313-1691
• Language: English