Publications of the Research Institute for Mathematical Sciences
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Published online: 2018-07-23
Hodge–Tate Conditions for Landau–Ginzburg ModelsYota Shamoto (1) The University of Tokyo, Kashiwa, Japan
We give a sufficient condition for a class of tame compactified Landau–Ginzburg models in the sense of Katzarkov–Kontsevich–Pantev to satisfy some versions of their conjectures. We also give examples that satisfy the condition. The relations to the quantum $\mathcal D$-modules of Fano manifolds and the original conjectures are explained in the appendices.
Keywords: Hodge theory, mirror symmetry
Shamoto Yota: Hodge–Tate Conditions for Landau–Ginzburg Models. Publ. Res. Inst. Math. Sci. 54 (2018), 469-515. doi: 10.4171/PRIMS/54-3-2