Autoequivalences of toric surfaces

2010/10/08 by Broomhead, Nathan, Ploog, David · 1 citation
#14J26 #14M25 #18E30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1010.1717

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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