This review of the theory of toric Landau–Ginzburg models describes an effective approach
to mirror symmetry for Fano varieties. It focuses mainly on the cases of dimensions $2 $ and …

In this paper we prove the smoothness of the moduli space of Landau–Ginzburg models. We
formulate and prove a Bogomolov–Tian–Todorov theorem for the deformations of Landau …

Abstract We consider Landau–Ginzburg models for smooth Fano threefolds of the principal
series and prove that they can be represented by Laurent polynomials. We check that these …

Landau–Ginzburg Hodge numbers for mirrors of del Pezzo surfaces - ScienceDirect Skip to
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We prove that if a smooth variety with non-positive canonical class can be embedded into a
weighted projective space of dimension $ n $ as a well formed complete intersection and it …

We prove that smooth Fano threefolds have toric Landau-Ginzburg models. More precisely,
we prove that their Landau-Ginzburg models, represented as Laurent polynomials, admit …

In this thesis we address several questions around mirror symmetry for Fano manifolds and
Calabi-Yau varieties. Fano mirror symmetry is a relationship between a Fano manifold X and …

We give lower bounds for Hodge numbers of smooth well formed Fano weighted complete
intersections. In particular, we compute their Hodge level, that is, the maximal distance …

arXiv:1703.10778v1 [math.AG] 31 Mar 2017 Page 1 arXiv:1703.10778v1 [math.AG] 31 Mar
2017 On the number of singular points of factorial terminal Fano threefolds Yu. Prokhorov UDK …

In this paper, we describe recent work towards the mirror\mathrm P=\mathrm W conjecture,
which relates the weight filtration on the cohomology of a log Calabi–Yau manifold to the …