##### Department of Mathematics,

University of California San Diego

****************************

### Algebraic Geometry Seminar

## Ljudmila Kamenova

#### Stony Brook

## Hyper-Kaehler fibrations

##### Abstract:

We consider hyper-Kaehler manifolds of complex dimension 4 which are fibrations. It is known that the fibers are abelian varieties and the base is $\mathbb P^2$. We assume that the general fiber is isomorphic to a product of two elliptic curves. Our result is that such a hyper-Kaehler manifold is deformation equivalent to a Hilbert scheme of two points on a K3 surface.

Host: Dragos Oprea

### November 30, 2009

### 9:00 AM

### AP&M 7218

****************************