Forschungsseminar: Komplexe Geometrie
20.01.2011 David Ploog (Hannover)
Autoequivalences of toric surfaces
Abstract:
Demazure introduced toric varieties because he could explicitly describe
their automorphism groups. Looking at algebraic varieties from a derived
point of view, we are interested in the groups of autoequivalences of
their derived categories. For almost all smooth, projective toric
surfaces, a complete description can be given. We also show how to present
the sparse spherical objects in terms of the abundant exceptional ones.
(This is joint work with Nathan Broomhead.)
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