English

Fibers over infinity of Landau-Ginzburg models

Algebraic Geometry 2023-02-16 v2

Abstract

We conjecture that the number of components of the fiber over infinity of Landau--Ginzburg model for a smooth Fano variety XX equals the dimension of the anticanonical system of XX. 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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Cite

@article{arxiv.2005.01534,
  title  = {Fibers over infinity of Landau-Ginzburg models},
  author = {Ivan Cheltsov and Victor Przyjalkowski},
  journal= {arXiv preprint arXiv:2005.01534},
  year   = {2023}
}

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15 pages