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On Hodge numbers of complete intersections and Landau--Ginzburg models (1305.4377v5)

Published 19 May 2013 in math.AG

Abstract: We prove that the Hodge number $h{1,N-1}(X)$ of an $N$-dimensional ($N\geqslant 3$) 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 $X$.

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