Cohomological And Geometric Approaches To Rationality Problems
Download and Read Cohomological And Geometric Approaches To Rationality Problems full books in PDF, ePUB, and Kindle. Read online free Cohomological And Geometric Approaches To Rationality Problems ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Cohomological and Geometric Approaches to Rationality Problems
Author | : Fedor Bogomolov |
Publisher | : Springer Science & Business Media |
Total Pages | : 316 |
Release | : 2009-11-03 |
Genre | : Mathematics |
ISBN | : 0817649344 |
Download Cohomological and Geometric Approaches to Rationality Problems Book in PDF, Epub and Kindle
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
Cohomological and Geometric Approaches to Rationality Problems Related Books
Pages: 316
Pages: 170
Pages: 324
Pages: 215
Pages: 297