Counterexamples to the Kuznetsov--Shinder L-equivalence conjecture

2025/03/27 by Meinsma, Reinder · 3 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.21511

Abstract

We disprove a conjecture of Kuznetsov--Shinder, which posits that D-equivalent simply connected varieties are L-equivalent, by constructing a counterexample using moduli spaces of sheaves on K3 surfaces.

Cited by

• L-equivalence and Fourier--Mukai partners of cubic fourfolds
• Some remarks on L-equivalence for cubic fourfolds and hyper-Kähler manifolds
• Derived categories of Gushel-Mukai surfaces and Fano fourfolds of K3 type

Related

• An example for Kuznetsov-Shinder conjecture
• On L-equivalence for K3 surfaces and hyperkähler manifolds
• Derived Θ-stratifications and the D-equivalence conjecture
• D-equivalence and K-equivalence
• Derived equivalences of generalized Kummer varieties