English

Toric Landau-Ginzburg models

Algebraic Geometry 2019-05-22 v2

Abstract

This is a review of the theory of toric Landau-Ginzburg models - the effective approach to mirror symmetry for Fano varieties. We mainly focus on the cases of dimensions 2 and 3, as well as on the case of complete intersections in weighted projective spaces and Grassmannians. Conjectures that relate invariants of Fano varieties and their Landau--Ginzburg models, such as Katzarkov-Kontsevich-Pantev conjectures, are also studied.

Keywords

Cite

@article{arxiv.1809.09230,
  title  = {Toric Landau-Ginzburg models},
  author = {Victor Przyjalkowski},
  journal= {arXiv preprint arXiv:1809.09230},
  year   = {2019}
}

Comments

78 pages, 3 figures; some misprints are corrected

R2 v1 2026-06-23T04:17:08.720Z