Autoequivalences of toric surfaces

Details Autoequivalences of toric surfaces Autoequivalences of toric surfaces

2010-10-08

arxiv.org/abs/1010.1717v2

Mathematics

Algebraic Geometry

11 pages, 1 figure; minor changes: spelling corrected, abstract reworded, addresses added

Scientific paper

We study the derived categories of smooth projective toric surfaces and show
that the group of autoequivalences is generated by the standard equivalences
and spherical twists obtained from -2-curves. We also prove a close link
between spherical objects and certain pairs of exceptional objects.

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