52 citations · 193 across the 37 of their papers we have counts for
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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…
Automorphisms of Hilbert schemes of points on surfaces
Pieter Belmans, Georg Oberdieck, Jørgen Vold Rennemo
We show that every automorphism of the Hilbert scheme of points on a weak Fano or general type surface is natural, i.e. induced by an automorphism of the surface, unless the su…
Elliptic curves in hyper-Kähler varieties
Denis Nesterov, Georg Oberdieck
We show that the moduli space of elliptic curves of minimal degree in a general Fano variety of lines of a cubic fourfold is a non-singular curve of genus . The curve admits a…