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

Andreas Krug; Pawel Sosna

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arXiv · 1404.2105

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

Andreas Krug·Pawel Sosna

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Abstract

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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Andreas Krug, Pawel Sosna. 2014-04-08. On the derived category of the Hilbert scheme of points on an Enriques surface. https://arxiv.org/abs/1404.2105

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