Abstract Looijenga–Lunts and Verbitsky showed that the cohomology of a compact hyper-
Kähler manifold X admits a natural action by the Lie algebra so (4, b_2 (X)-2) so (4, b 2 (X) …

Motivic decompositions for the Hilbert scheme of points of a K3 surface Skip to content Should
you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound …

We conjecture that the generating series of Gromov–Witten invariants of the Hilbert schemes
of n points on a K3 surface are quasi-Jacobi forms and satisfy a holomorphic anomaly …

In this paper, we prove a decomposition result for the Chow groups of projectivizations of
coherent sheaves of homological dimension. In this process, we establish the …

We use Noether–Lefschetz theory to study the reduced Gromov–Witten invariants of a
holomorphic-symplectic variety of-type. This yields strong evidence for a new conjectural …

Looijenga--Lunts and Verbitsky showed that the cohomology of a compact hyper-K\" ahler
manifold $ X $ admits a natural action by the Lie algebra $\mathfrak {so}(4, b_2 (X)-2) …

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 …

We propose an explicit conjectural lift of the Neron–Severi Lie algebra of a hyperkähler
variety X of K3^ 2 K 3 2-type to the Chow ring of correspondences CH^*(X * X) CH∗(X× X) in …

arXiv:2206.10288v1 [math.AG] 21 Jun 2022 Page 1 arXiv:2206.10288v1 [math.AG] 21 Jun 2022
Lagrangian planes in hyperkähler varieties of K3 [n] -type Georg Oberdieck June 22, 2022 …

Geometry and derived categories of holomorphic symplectic manifolds Page 1 Geometry and
derived categories of holomorphic symplectic manifolds Dissertation zur Erlangung des …