Rationality Problems in Algebraic Geometry Levico Terme, Italy 2015 /

• Main Authors: Beauville, Arnaud (Author), Hassett, Brendan (Author), Kuznetsov, Alexander (Author), Verra, Alessandro (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Pardini, Rita (Editor), Pirola, Gian Pietro (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes in Mathematics, 2172
• Subjects: Mathematics.; Algebraic geometry.; Algebraic Geometry.

Providing an overview of the state of the art on rationality questions in algebraic geometry, this volume gives an update on the most recent developments. It offers a comprehensive introduction to this fascinating topic, and will certainly become an essential reference for anybody working in the fie...

Table of Contents:

• Introduction.-Arnaud Beauville: The Lüroth problem.-Brendan Hassett: Cubic Fourfolds, K3 Surfaces, and Rationality Questions
• Alexander Kuznetsov: Derived categories view on rationality problems
• Alessandro Verra: Classical moduli spaces and Rationality
• Howard Nuer: Unirationality of Moduli Spaces of Special Cubic Fourfolds and K3 Surfaces.