On some invariants of cubic fourfolds

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.

Minor changes. Final version appeared in the European Journal of Mathematics

References in corpus (1)

• Geometry of lines on a cubic fourfold

Cited by in corpus (1)

• Chow groups of surfaces of lines in cubic fourfolds