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Toric Degenerations of Fano Threefolds Giving Weak Landau-Ginzburg Models

We show that every rank one smooth Fano threefold has a weak Landau-Ginzburg model coming from a toric degeneration. The fibers of these Landau-Ginzburg models can be compactified to K3 surfaces with Picard lattice of rank 19. We also show that any smooth Fano variety of arbitrary dimension which is a complete intersection of Cartier divisors in weighted projective space has a very weak Landau-Ginzburg model coming from a toric degeneration.

preprint2012arXivOpen access
Nathan Owen IltenJacob LewisVictor Przyjalkowski
math.AG
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Nathan Owen IltenJacob LewisVictor Przyjalkowski

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