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On the derived category of the Hilbert scheme of points on an Enriques surface

Andreas Krug, Pawel Sosna

Number 12
Authors Andreas Krug
Pawel Sosna
Year 2014

We use semi-orthogonal decompositions to construct autoequivalences of Hilbert schemes of points on Enriques surfaces and of Calabi-Yau varieties which cover them. While doing this, we show that the derived category of a surface whose irregularity and geometric genus vanish embeds into the derived category of its Hilbert scheme of points.

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