A note on the Schur-finiteness of linear sections
Algebraic Geometry
2016-10-21 v1 Algebraic Topology
K-Theory and Homology
Representation Theory
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.
Cite
@article{arxiv.1610.06553,
title = {A note on the Schur-finiteness of linear sections},
author = {Goncalo Tabuada},
journal= {arXiv preprint arXiv:1610.06553},
year = {2016}
}
Comments
11 pages