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Homological Mirror Symmetry for Toric del Pezzo Surfaces

Kazushi Ueda
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Abstract

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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Kazushi Ueda. 2004-11-30. Homological Mirror Symmetry for Toric del Pezzo Surfaces. https://arxiv.org/abs/math/0411654

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