Counterexamples to the Kuznetsov--Shinder L-equivalence conjecture
Algebraic Geometry
2026-02-11 v3
Abstract
We disprove a conjecture of Kuznetsov--Shinder, which posits that -equivalent simply connected varieties are -equivalent, by constructing a counterexample using moduli spaces of sheaves on K3 surfaces.
Cite
@article{arxiv.2503.21511,
title = {Counterexamples to the Kuznetsov--Shinder L-equivalence conjecture},
author = {Reinder Meinsma},
journal= {arXiv preprint arXiv:2503.21511},
year = {2026}
}
Comments
Final version. To appear in Algebraic Geometry