| 书目名称 | Cohomological and Geometric Approaches to Rationality Problems |
| 副标题 | New Perspectives |
| 编辑 | Fedor Bogomolov,Yuri Tschinkel |
| 视频video | |
| 概述 | Includes papers written by leading experts in the field.Contains a selection of articles exploring rationality problems in algebraic geometry.Gives a representative sample of problems and most recent |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | .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. |
| 出版日期 | Book 2010 |
| 关键词 | Bogomolov multiplier; Cohomology; Noether‘s Problem; algebraic varieties; birational rigidity; moduli spa |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-8176-4934-0 |
| isbn_ebook | 978-0-8176-4934-0Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Birkhäuser Boston 2010 |
发表于 2025-3-21 19:32:12
