10 papers
Hilbert schemes of K3 surfaces, generalized Kummer, and cobordism classes of hyper-Kähler manifolds
Georg Oberdieck, Jieao Song, Claire Voisin
We prove that the complex cobordism class of any hyper-Kähler manifold of dimension is a unique combination with rational coefficients of classes of products of punctual Hilbe…
Gromov-Witten theory of K3 surfaces and a Kaneko-Zagier equation for Jacobi forms
Jan-Willem van Ittersum, Georg Oberdieck, Aaron Pixton
We prove the existence of quasi-Jacobi form solutions for an analogue of the Kaneko--Zagier differential equation for Jacobi forms. The transformation properties of the solutions u…
Equivariant categories of symplectic surfaces and fixed loci of Bridgeland moduli spaces
Thorsten Beckmann, Georg Oberdieck
Given an action of a finite group on the derived category of a smooth projective variety we relate the fixed loci of the induced -action on moduli spaces of stable objec…
On equivariant derived categories
Thorsten Beckmann, Georg Oberdieck
We study the equivariant category associated to a finite group action on the derived category of coherent sheaves of a smooth projective variety. We discuss decompositions of the e…
Motivic decompositions for the Hilbert scheme of points of a K3 surface
Andrei Neguţ, Georg Oberdieck, Qizheng Yin
We construct an explicit, multiplicative Chow-Künneth decomposition for the Hilbert scheme of points of a K3 surface. We further refine this decomposition with respect to the actio…
A Lie algebra action on the Chow ring of the Hilbert scheme of points of a K3 surface
Georg Oberdieck
We construct an action of the Neron--Severi part of the Looijenga-Lunts-Verbitsky Lie algebra on the Chow ring of the Hilbert scheme of points on a K3 surface. This yields a simpli…