Homological Mirror Symmetry for Toric del Pezzo Surfaces

We prove the homological mirror conjecture for toric del Pezzo surfaces. In this case, the mirror object is a regular function on an algebraic torus We show that the derived Fukaya category of this mirror coincides with the derived category of coherent sheaves on the original manifold. Supported by JSPS Fellowships for Young Scientists No.15-5561.