A note on the Schur-finiteness of linear sections
Name
1610.06553.pdf
Description
Accepted version
Size
216.86 KB
Format
Adobe PDF
Checksum (MD5)
50628063b69d9659c51e9b53e1f70b84
Author(s)
Trigo Neri Tabuada, Goncalo Jorge
Date Issued
2018
Journal
Mathematical Research Letters
Publisher
International Press of Boston
Citation
Tabuada, Gonçalo. “A Note on the Schur-Finiteness of Linear Sections.” Mathematical Research Letters 25, 1 (2018): 237–53
Version
Author's final manuscript
Abstract
Making use of the recent theory of noncommutative motives, we prove that Schur-finiteness in the setting of Voevodsky’s mixed motives is invariant under homological projective duality. As an application, we show that the mixed motives of smooth linear sections of certain (Lagrangian) Grassmannians, spinor varieties, and determinantal varieties, are Schur-finite. Finally, we upgrade our applications from Schur-finiteness to Kimura-finiteness.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.4310/MRL.2018.V25.N1.A10
