Back to Algebraic Geometry Seminar: Spring 2009
Algebraic Geometry Seminar
Date: Tuesday, Mar 10, 2009
Time: 3:30PM - 4:30PM
Location: LCB 215
3:30pm, JWB 333
Paolo Stellari
Università di Milano
Title |
Deformations of K3 surfaces and orientation |
Abstract |
We present a generalization of the Derived Torelli Theorem to first order deformations of the derived categories of K3 surfaces. This result shows that the equivalences between such categories is detected by the existence of special isometries of a first order deformation of the Mukai lattice. A key ingredient in the proof is the fact the such isometries preserve the orientation of a 4-dimensional subspace in the cohomology of the surfaces. This is joint work with E. Macrì and, partially, with D. Huybrechts. |
Algebraic Geometry