Rationality does not specialize among terminal varieties

Abstract

A limit of rational varieties need not be rational, even if all varieties in the family are projective and have at most terminal singularities.

3 pages

Cited by in corpus (3)

• Stable rationality of quadric surface bundles over surfaces
• (Stable) rationality is not deformation invariant
• Stable rationality of index one Fano hypersurfaces containing a linear space