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arXiv · 2008.05162

On some invariants of cubic fourfolds

Frank Gounelas·Alexis Kouvidakis
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Abstract

For a general cubic fourfold $X \subset \mathbb{P}^5$, we compute the Hodge numbers of the locus $S \subset F$ of lines of second type. We also give an upper bound of 6 for the degree of irrationality of the Fano scheme of lines of any smooth cubic hypersurface.

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Frank Gounelas, Alexis Kouvidakis. 2020-08-12. On some invariants of cubic fourfolds. https://doi.org/10.1007/s40879-023-00651-y

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