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.)