On Calabi-Yau compactifications of toric Landau-Ginzburg models for Fano complete intersections
Victor Przyjalkowski
TL;DR
This paper provides an alternative proof that toric Landau-Ginzburg models for Fano complete intersections admit Calabi-Yau compactifications, and describes the fibers over infinity in these models.
Contribution
It offers a new proof of Calabi-Yau compactifications for these models and characterizes fibers over infinity.
Findings
Calabi-Yau compactifications exist for these models
Description of fibers over infinity
Alternative proof approach
Abstract
Toric Landau--Ginzburg models of Givental's type for Fano complete intersections are known to have Calabi--Yau compactifications. We give an alternative proof of this fact. As an output of our proof we get a description of fibers over infinity for compactified toric Landau--Ginzburg models.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology