Autoequivalences of toric surfaces
Date
2014-01-30Author
Broomhead, Nathan
Ploog, D
Subject
Toric surface derived category group of autoequivalences exceptional object
Metadata
Show full item recordAbstract
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 <inline-formula content-type="math/mathml"> <math alttext="negative 2"> <semantics> <mrow> <mo>−</mo> <mn>2</mn> </mrow> <annotation encoding="application/x-tex">-2</annotation> </semantics> </math> </inline-formula>-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.
Description
12 pages, 6 figures; major changes: statements corrected and
strengthened, new section about non-toric examples, to appear in Proc. AMS
Collections
Publisher
American Mathematical Society (AMS)
Journal
Proceedings of the American Mathematical Society
Volume
142
Issue
4
Pagination
1133-1146
Publisher URL
Number
4
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