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arXiv · 2510.21222

Fibers of Landau-Ginzburg models and rationality

Sukjoo Lee·Victor Przyjalkowski
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Abstract

In this article, we study how the rationality of a Fano threefold is reflected in its standard mirror Landau-Ginzburg model and its deformations. The main result is that a Fano threefold is rational if and only if the monodromy around every reducible fiber of its generic mirror Landau-Ginzburg model is unipotent.

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Sukjoo Lee, Victor Przyjalkowski. 2025-10-24. Fibers of Landau-Ginzburg models and rationality. https://arxiv.org/abs/2510.21222

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