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Nov 22 at 19:20 comment added andres @hyyyyy I think that in general, the Laurent polynomial mirror to a toric variety is built from looking at the toric fan. If you look up the fan for F_n, it has "vertices" corresponding to the terms in your Landau-Ginzburg model.
Oct 23 at 12:03 comment added hyyyyy That's exactly what motivated my question: Why we investigate HMS for $\mathbb{F}_{n}$ by looking at this LG-model? It seems that the model is already defined and constructed before we begin to talk about the actual mirror symmetry.
Oct 23 at 10:47 history edited M.G. CC BY-SA 4.0
more typos
Oct 23 at 10:31 history answered M.G. CC BY-SA 4.0