arXiv:1711.10045v3 [math.AG] 28 Feb 2020 Page 1 Épijournal de Géométrie Algébrique
epiga.episciences.org Volume 4 (2020), Article Nr. 3 On the group of zero-cycles of holomorphic …

Motivated by the Beauville decomposition of an abelian scheme and the" Perverse= Chern"
phenomenon for a compactified Jacobian fibration, we study in this paper splittings of the …

In this paper, we study Bloch's conjecture for zero cycles on K3 surfaces and hyper-K\" ahler
varieties. We prove Bloch's conjecture for reflexive autoequivalences on K3 surfaces. This …

We study the deformation theory of rational curves on primitive symplectic varieties and
show that if the rational curves cover a divisor, then, as in the smooth case, they deform …

We study families of rational curves on irreducible holomorphic symplectic varieties. We give
a necessary and sufficient condition for a sufficiently ample linear system on a holomorphic …

We explore the connection between K3 categories and 0-cycles on holomorphic symplectic
varieties. In this paper, we focus on Kuznetsov's noncommutative K3 category associated to …

We prove that the invariant locus of the involution associated with a general double
Eisenbud-Popescu-Walter (EPW) sextic is a constant cycle surface and introduce a filtration …

We introduce a new ascending filtration, that we call the co-radical filtration in analogy with
the basic theory of co-algebras, on the Chow groups of pointed smooth projective varieties …

Abstract The Beauville–Voisin conjecture predicts the existence of a filtration on a projective
hyper-Kähler manifold opposite to the conjectural Bloch–Beilinson filtration, called the …

In this paper, we derive from deep results due to Clozel and Ullmo a sharp density result of
Noether–Lefschetz loci inside the moduli space of marked (polarized) irreducible …