6 papers
Categorical Torelli theorems for higher Picard rank Fano double covers
Augustinas Jacovskis, Reinder Meinsma
We prove categorical Torelli theorems for four families of Fano double covers with Picard rank greater than 1. Among these is the family of Verra fourfolds. The other three familie…
L-equivalence and Fourier--Mukai partners of cubic fourfolds
Reinder Meinsma, Riccardo Moschetti
We study L-equivalence in the Grothendieck ring of varieties and its interaction with categorical invariants of cubic fourfolds. Assuming a Derived Torelli-type criterion for Kuzne…
Counterexamples to the Kuznetsov--Shinder L-equivalence conjecture
Reinder Meinsma
We disprove a conjecture of Kuznetsov--Shinder, which posits that -equivalent simply connected varieties are -equivalent, by constructing a counterexample using moduli spaces…
On L-equivalence for K3 surfaces and hyperkähler manifolds
Reinder Meinsma
This paper explores the relationship between L-equivalence and D-equivalence for K3 surfaces and hyperkähler manifolds. Building on Efimov's approach using Hodge theory, we prove t…
Obstruction classes for moduli spaces of sheaves and Lagrangian fibrations
Dominique Mattei, Reinder Meinsma
We investigate obstruction classes of moduli spaces of sheaves on K3 surfaces. We extend previous results by Caldararu, explicitly determining the obstruction class and its order i…
Derived equivalence of elliptic K3 surfaces and Jacobians
Reinder Meinsma, Evgeny Shinder
We present a detailed study of elliptic fibrations on Fourier-Mukai partners of K3 surfaces, which we call derived elliptic structures. We fully classify derived elliptic structure…