ENGLISH

Cohomological and geometric approaches to rationality problems: New perspectives

By Yuri Tschinkel (eds.) , Fabrizio Catanese (auth.) , Ingrid Bauer , Fedor Bogomolov

Book information

Publisher
Birkhäuser Basel
Year
2010
ISBN
0817649336, 9780817649333, 9780817649364
DOI
10.1007/978-0-8176-4934-0
LCC
QA564 .C595 2010
Open Library ID
OL25000787M
Language
english
Format
PDF
Filesize
3 MB (2762710 bytes)
Series
Progress in Mathematics 282
Edition
1
Pages
314\316
Topic
Mathematics Algebra
Library
Kolxo3
Scanned
yes
Time added
2010-07-29 05:14:56
Algebraic Geometry; Topological GroupsLie Groups; Group Theory and Generalizations

Description

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 one and two over algebraically closed ground fields of characteristic zero. These advances have led to many interdisciplinary applications of algebraic geometry. This comprehensive text consists of surveys and research papers by leading specialists in the field. Topics discussed include the rationality of quotient spaces, cohomological invariants of finite groups of Lie type, rationality of moduli spaces of curves, and rational points on algebraic varieties. This volume is intended for research mathematicians and graduate students interested in algebraic geometry, and specifically in rationality problems. I. Bauer C. Böhning F. Bogomolov F. Catanese I. Cheltsov N. Hoffmann S.-J. Hu M.-C. Kang L. Katzarkov B. Kunyavskii A. Kuznetsov J. Park T. Petrov Yu. G. Prokhorov A.V. Pukhlikov Yu. Tschinkel

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