Singularities of Landau-Ginzburg models for complete intersections and derived categories
Algebraic Geometry
2025-10-28 v1
Abstract
Mirror symmetry predicts that bounded derived category of a smooth Fano variety is equivalent to Fukaya-Seidel category of its Landau-Ginzburg model. It is expected that fibers of Landau-Ginzburg model with ordinary double points correspond to an exceptional collection of a Fano variety. We verify this expectation on a numerical level for Fano complete intersections and Calabi-Yau compactifications of their toric Landau-Ginzburg models of Givental's type.
Keywords
Cite
@article{arxiv.2510.23143,
title = {Singularities of Landau-Ginzburg models for complete intersections and derived categories},
author = {Victor Przyjalkowski},
journal= {arXiv preprint arXiv:2510.23143},
year = {2025}
}
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10 pages