Intersections of three quadrics in ${\mathbb{P}}^7$

Abstract

We study rationality properties of smooth complete intersections of three quadrics in ${\mathbb{P}}^7$. We exhibit a smooth family of such intersections with both rational and non-rational fibers.

18 pages

References in corpus (2)

• Quadric surface bundles over surfaces
• Stable rationality of del Pezzo fibrations of low degree over projective spaces