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arXiv · 1305.4377

On Hodge numbers of complete intersections and Landau--Ginzburg models

Victor Przyjalkowski·Constantin Shramov
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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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Victor Przyjalkowski, Constantin Shramov. 2013-05-19. On Hodge numbers of complete intersections and Landau--Ginzburg models. https://arxiv.org/abs/1305.4377

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