Autoequivalences of toric surfaces

Published 8 Oct 2010 in math.AG | (1010.1717v3)

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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