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arXiv · 1102.4664

Toric Degenerations of Fano Threefolds Giving Weak Landau-Ginzburg Models

Nathan Owen Ilten·Jacob Lewis·Victor Przyjalkowski
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Abstract

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.

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Nathan Owen Ilten, Jacob Lewis, Victor Przyjalkowski. 2012-11-19. Toric Degenerations of Fano Threefolds Giving Weak Landau-Ginzburg Models. https://doi.org/10.1016/j.jalgebra.2012.11.002

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