# Fibers over infinity of Landau-Ginzburg models

@article{Cheltsov2020FibersOI, title={Fibers over infinity of Landau-Ginzburg models}, author={Ivan Cheltsov and Victor Przyjalkowski}, journal={arXiv: Algebraic Geometry}, year={2020} }

We conjecture that the number of components of the fiber over infinity of Landau--Ginzburg model for a smooth Fano variety $X$ equals the dimension of the anticanonical system of $X$. We verify this conjecture for log Calabi--Yau compactifications of toric Landau--Ginzburg models for smooth Fano threefolds, complete intersections, and some toric varieties.

## One Citation

Laurent polynomials in Mirror Symmetry: why and how?

- MathematicsProyecciones (Antofagasta)
- 2022

We survey the approach to mirror symmetry via Laurent polynomials, outlining some of the main conjectures, problems, and questions related to the subject. We discuss: how to construct Landau–Ginzburg…

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