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Article

On Hodge Numbers of Complete Intersections and Landau–Ginzburg Models

International Mathematics Research Notices. 2015. Vol. 21. P. 11302-11332.

We prove that the Hodge number h1,N−1(X) of an N-dimensional (N 3) Fano complete intersection X is less by one then the number of irreducible components of the central fiber of (any) Calabi–Yau compactification of Givental’s Landau–Ginzburg model for X.