Abstract
Let X be a toric Del-Pezzo surface and let Crit(W)⊂(ℂ*)n be the solution scheme of the Landau-Ginzburg system of equations. Denote by X° the polar variety of X. Our aim in this work is to describe a map L:Crit(W)→Fuktrop(X°) whose image under homological mirror symmetry corresponds to a full strongly exceptional collection of line bundles.
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