Cohomological and geometric approaches to rationality problems : new perspectives / edited by Fedor Bogomolov, Yuri Tschinkel
- 其他作者：
- 其他題名：
- Springer eBooks
- New perspectives
- 出版： Boston : Birkhauser Boston 2010
- 叢書名： Progress in Mathematics ;v.282
- 主題： Geometry, Algebraic. , Rational points (Geometry) , Homology theory. , Group Theory and Generalizations. , Mathematics. , Topological Groups, Lie Groups. , Algebraic Geometry.
- ISBN： 9780817649340 (electronic bk.) 、 9780817649333 (paper)
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- 系統號： 005161380 | 機讀編目格式
館藏資訊
Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, 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 one and two over algebraically closed ground fields of characteristic zero. Such advances has led to many interdisciplinary applications to algebraic geometry. This comprehensive book consists of surveys of research papers by leading specialists in the field and gives indications for future research in rationality problems. Topics discussed include the rationality of quotient spaces, cohomological invariants of quasi-simple Lie type groups, rationality of the moduli space of curves, and rational points on algebraic varieties. This volume is intended for researchers, mathematicians, and graduate students interested in algebraic geometry, and specifically in rationality problems. Contributors: F. Bogomolov; T. Petrov; Y. Tschinkel; Ch. Böhning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov