This book provides an overview of the latest progress on
rationality questions in algebraic geometry. It discusses new
developments such as universal triviality of the Chow group of zero
cycles, various aspects of stable birationality, cubic and Fano
fourfolds, rationality of moduli spaces and birational invariants
of group actions on varieties, contributed by the foremost experts
in their fields. The question of whether an algebraic variety can
be parametrized by rational functions of as many variables as its
dimension has a long history and played an important role in the
history of algebraic geometry. Recent developments in algebraic
geometry have made this question again a focal point of research
and formed the impetus to organize a conference in the series of
conferences on the island of Schiermonnikoog. The book follows in
the tradition of earlier volumes, which originated from conferences
on the islands Texel and Schiermonnikoog.
General
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