Varieties that are not stably rational, zero-cycles and unramified cohomology
Varieties that are not stably rational, zero-cycles and unramified cohomology
This is a survey of recent examples of varieties that are not stably rational.We review the specialization method based on properties of the Chow group of zero-cycles used in these examples and explain the point of view of unramified cohomology for the construction of nontrivial stable invariants of the special …