Homological Mirror Symmetry for Toric del Pezzo Surfaces

Mathematics – Algebraic Geometry

Scientific paper

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19 pages, 6 figures

Scientific paper

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.

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