Autoequivalences of toric surfaces
Algebraic Geometry
2015-03-17 v3
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.
Keywords
Cite
@article{arxiv.1010.1717,
title = {Autoequivalences of toric surfaces},
author = {Nathan Broomhead and David Ploog},
journal= {arXiv preprint arXiv:1010.1717},
year = {2015}
}
Comments
12 pages, 6 figures; major changes: statements corrected and strengthened, new section about non-toric examples, to appear in Proc. AMS