Add to ORKGWe prove that the Chow motives of two smooth cubic fourfolds whose Kuznetsov components are Fourier-Mukai derived-equivalent are isomorphic as Frobenius algebra objects. As a corollary, we obtain that there exists a Galois-equivariant isomorphism between their l-adic cohomology Frobenius algebras. We also discuss the case where the Kuznetsov component of a smooth cubic fourfold is Fourier-Mukai derived-equivalent to a K3 surface.Comment: 21 page
We construct new examples of rational Gushel-Mukai fourfolds, giving more evidence for the analog of...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
Fu L, Vial C. A motivic global Torelli theorem for isogenous K3 surfaces. Advances in Mathematics. 2...
In this note we propose an approach to some questions about the birational geometry of smooth cubic ...
In this paper we prove the conjecture claiming that, over a flexible field, isotropic Chow groups co...
In this paper we prove the conjecture claiming that, over a flexible field, isotropic Chow groups co...
The surface of lines in a cubic fourfold intersecting a fixed line splits motivically into two parts...
For the irreducible holomorphic symplectic eightfold Z associated to a cubic fourfold Y not containi...
In this paper, we study relations between automorphism groups of cubic fourfolds and Kuznetsov compo...
<p>This thesis analyzes the Chow motives of 3 types of smooth projective varieties: the desingulariz...
We show that the Andr\'{e} motive of a hyper-K\"{a}hler variety $X$ over a field $K \subset \mathbb{...
We prove that the moduli stacks of marked and labelled Hodge-special Gushel-Mukai fourfolds are isom...
We prove the existence of Bridgeland stability conditions on the Kuznetsov components of Gushel-Muka...
In this note we relate the notions of Lefschetz type, decomposability, and isomorphism for Chow moti...
We construct new examples of rational Gushel-Mukai fourfolds, giving more evidence for the analog of...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
Fu L, Vial C. A motivic global Torelli theorem for isogenous K3 surfaces. Advances in Mathematics. 2...
In this note we propose an approach to some questions about the birational geometry of smooth cubic ...
In this paper we prove the conjecture claiming that, over a flexible field, isotropic Chow groups co...
In this paper we prove the conjecture claiming that, over a flexible field, isotropic Chow groups co...
The surface of lines in a cubic fourfold intersecting a fixed line splits motivically into two parts...
For the irreducible holomorphic symplectic eightfold Z associated to a cubic fourfold Y not containi...
In this paper, we study relations between automorphism groups of cubic fourfolds and Kuznetsov compo...
<p>This thesis analyzes the Chow motives of 3 types of smooth projective varieties: the desingulariz...
We show that the Andr\'{e} motive of a hyper-K\"{a}hler variety $X$ over a field $K \subset \mathbb{...
We prove that the moduli stacks of marked and labelled Hodge-special Gushel-Mukai fourfolds are isom...
We prove the existence of Bridgeland stability conditions on the Kuznetsov components of Gushel-Muka...
In this note we relate the notions of Lefschetz type, decomposability, and isomorphism for Chow moti...
We construct new examples of rational Gushel-Mukai fourfolds, giving more evidence for the analog of...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...