Derived equivalent threefolds, algebraic representatives, and the coniveau filtration
Algebraic Geometry
2020-02-26 v2
Abstract
A conjecture of Orlov predicts that derived equivalent smooth projective varieties over a field have isomorphic Chow motives. The conjecture is known for curves, and was recently observed for surfaces by Huybrechts. In this paper we focus on threefolds over perfect fields, and unconditionally secure results, which are implied by Orlov's conjecture, concerning the geometric coniveau filtration, and abelian varieties attached to smooth projective varieties.
Cite
@article{arxiv.1704.01902,
title = {Derived equivalent threefolds, algebraic representatives, and the coniveau filtration},
author = {Jeff Achter and Sebastian Casalaina-Martin and Charles Vial},
journal= {arXiv preprint arXiv:1704.01902},
year = {2020}
}
Comments
8 pages; final version