Birational Geometry, Rational Curves, and Arithmetic

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bogomolov, Fedor (Editor), Hassett, Brendan (Editor), Tschinkel, Yuri (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Subjects: Mathematics.; Algebraic geometry.; Geometry.; Number theory.; Algebraic Geometry.; Number Theory.

This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry.  It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions.  Classically, arithmetic is the stu...