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arXiv · 1010.1717

Autoequivalences of toric surfaces

Nathan Broomhead·David Ploog
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Abstract

We show that the autoequivalence group of the derived category of any smooth projective toric surface is generated by the standard equivalences and spherical twists obtained from -2-curves. In many cases we give all relations between these generators. We also prove a close link between spherical objects and certain pairs of exceptional objects.

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Nathan Broomhead, David Ploog. 2010-10-08. Autoequivalences of toric surfaces. https://arxiv.org/abs/1010.1717

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