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arXiv · 1801.10489

Hodge level for weighted complete intersections

Victor Przyjalkowski·Constantin Shramov
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Abstract

We give lower bounds for Hodge numbers of smooth well formed Fano weighted complete intersections. In particular, we compute their Hodge level, that is, the maximal distance between non-trivial Hodge numbers in the same row of the Hodge diamond. This allows us to classify varieties whose Hodge numbers are like that of a projective space, of a curve, or of a Calabi--Yau variety of low dimension.

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Victor Przyjalkowski, Constantin Shramov. 2020-01-16. Hodge level for weighted complete intersections. https://doi.org/10.1007/s13348-019-00276-z

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