A very general quartic double fourfold is not stably rational

Abstract

We prove that a very general double cover of the projective four-space, ramified in a quartic threefold, is not stably rational.

16 pages

References in corpus (2)

• Stable rationality of cyclic covers of projective spaces
• Stable rationality of quadric surface bundles over surfaces

Cited by in corpus (6)

• Stably irrational hypersurfaces of small slopes
• Quadric surface bundles over surfaces and stable rationality
• Stable rationality of quadric and cubic surface bundle fourfolds
• Intersections of three quadrics in ${\mathbb{P}}^7$
• Smooth weighted hypersurfaces that are not stably rational
• Brauer groups of involution surface bundles