• Corpus ID: 218487144

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. 
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