Moduli spaces of stable objects in the derived category of a-group of the moduli space of
stable objects. We discuss its connection with Voisin's recent proposal via constant cycle …

arXiv:1910.11423v3 [math.AG] 1 Jul 2020 Page 1 arXiv:1910.11423v3 [math.AG] 1 Jul 2020
LINES, CONICS, AND ALL THAT C. CILIBERTO, M. ZAIDENBERG To Bernard Shiffman on …

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 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 …

O'Grady conjectured that the Chow group of 0-cycles of the generic fiber of the universal
family over the moduli space of polarized K3 surfaces of genus is cyclic. This so-called …

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 …

Let $ X $ be a very general Gushel-Mukai (GM) variety of dimension $ n\geq 4$, and let $ Y
$ be a smooth hyperplane section. There are natural pull-back and push-forward functors …

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 …

Fix a symplectic K3 surface X homologically mirror to an algebraic K3 surface Y by an
equivalence taking a graded Lagrangian torus LX to the skyscraper sheaf of a point y 2 Y …