Calabi-Yau compactifications of toric Landau-Ginzburg models for smooth Fano threefolds

V. V. Przyjalkowski

Sbornik. Mathematics, Tome 208 (2017) no. 7, pp. 992-1013

Résumé

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 compactifications to families of K3 surfaces, and we describe their fibres over infinity. We also give an explicit construction of Landau-Ginzburg models for del Pezzo surfaces and any divisors on them. Bibliography: 40 titles.

Détail

Keywords: Fano threefolds, toric Landau-Ginzburg models
Mots-clés : Calabi-Yau compactifications.

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