Specialization of birational types

Abstract

We introduce a simplified version of the Grothendieck group of algebraic varieties and use it to show that birational types specialize in families with mild singularities of the central fiber.

17 pages

References in corpus (1)

• Unirational threefolds with no universal codimension 2 cycle

Cited by in corpus (7)

• Congruences of 5-secant conics and the rationality of some admissible cubic fourfolds
• Equivariant birational geometry and modular symbols
• Models of Brauer-Severi surface bundles
• Rationality of complete intersections of two quadrics
• Homotopy types and geometries below Spec Z
• Towards a specialization map modulo semi-orthogonal decompositions
• Brauer groups of involution surface bundles