Cohomological and Geometric Approaches to Rationality Problems New Perspectives /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bogomolov, Fedor (Editor), Tschinkel, Yuri (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2010.
• Edition: 1.
• Series: Progress in Mathematics ; 282
• Subjects: Mathematics.; Algebraic geometry.; Group theory.; Topological groups.; Lie groups.; Algebraic Geometry.; Group Theory and Generalizations.; Topological Groups, Lie Groups.

Rationality problems link algebra to geometry. The difficulties involved depend on the transcendence degree over the ground field, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions on...