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15 February 2025
 
  » arxiv » 1605.0236

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On exceptional collections of line bundles and mirror symmetry for toric Del-Pezzo surfaces
Yochay Jerby ;
Date 1 May 2016
AbstractLet $X$ be a toric Del-Pezzo surface and let $Crit(W) subset (mathbb{C}^{ast})^n$ be the solution scheme of the Landau-Ginzburg system of equations. Denote by $X^{circ}$ the polar variety of $X$. Our aim in this work is to describe a map $L : Crit(W) ightarrow Fuk_{trop}(X^{circ})$ whose image under homological mirror symmetry corresponds to a full strongly exceptional collection of line bundles.
Source arXiv, 1605.0236
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