Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic

Offers a unique synthesis of techniques: tools from complex algebraic geometry are applied to fundamental questions in number theory and Diophantine geometry Investigates the connection between derived equivalences and existence of rational points on varieties, especially on K3 surfaces Includes a founding paper in the emerging theory of universal triviality of the Chow group of 0-cycles and its relationship to stable rationality problems