Fibers of Landau-Ginzburg models and rationality

Fuente: arXiv
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Hauptverfasser: Lee, Sukjoo, Przyjalkowski, Victor
Format: Preprint
Veröffentlicht: 2025
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author Lee, Sukjoo
Przyjalkowski, Victor
author_facet Lee, Sukjoo
Przyjalkowski, Victor
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_21222
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fibers of Landau-Ginzburg models and rationality
Lee, Sukjoo
Przyjalkowski, Victor
Algebraic Geometry
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.
title Fibers of Landau-Ginzburg models and rationality
topic Algebraic Geometry
url https://arxiv.org/abs/2510.21222