Towards Bridgeland stability conditions on threefolds
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Tue, 17/05/2011 15:45 |
Arend Bayer (University of Connecticut) |
Algebraic and Symplectic Geometry Seminar  |
L3 |
| I will discuss a conjectural Bogomolov-Gieseker type inequality for "tilt-stable" objects in the derived category of coherent sheaves on smooth projective threefolds. The conjecture implies the existence of Bridgeland stability conditions on threefolds, and also has implications to birational geometry: it implies a slightly weaker version of Fujita's conjecture on very ampleness of adjoint line bundles. | |||