Homological Mirror Symmetry for Toric del Pezzo Surfaces
classification
🧮 math.AG
math.SG
keywords
mirrorcategoryderivedhomologicalpezzosurfacestoricalgebraic
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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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