Hilbert schemes of two points on K3 surfaces and certain rational cubic fourfolds

Abstract

In this paper, we check that Fano schemes of lines on certain rational cubic fourfolds are birational to Hilbert schemes of two points on K3 surfaces.

arXiv comment6 pages

References in corpus (5)

• Hodge theory and derived categories of cubic fourfolds
• Derived categories view on rationality problems
• The Fano variety of lines and rationality problem for a cubic hypersurface
• Congruences of 5-secant conics and the rationality of some admissible cubic fourfolds
• The class of the affine line is a zero divisor in the Grothendieck ring: via $G_2$-Grassmannians