Non-affine Landau-Ginzburg models and intersection cohomology
Algebraic Geometry
2016-06-23 v4
Abstract
We construct Landau-Ginzburg models for numerically effective complete intersections in toric manifolds as partial compactifications of families of Laurent polynomials. We show a mirror statement saying that the quantum D-module of the ambient part of the cohomology of the submanifold is isomorphic to an intersection cohomology D-module defined from this partial compactification and we deduce Hodge properties of these differential systems.
Keywords
Cite
@article{arxiv.1210.6527,
title = {Non-affine Landau-Ginzburg models and intersection cohomology},
author = {Thomas Reichelt and Christian Sevenheck},
journal= {arXiv preprint arXiv:1210.6527},
year = {2016}
}