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Field name	Details
Dewey Class	516.35
Title	Cohomological and Geometric Approaches to Rationality Problems ([EBook]) : New Perspectives / edited by Fedor Bogomolov, Yuri Tschinkel.
Author	Bogomolov, Fedor, , 1946-
Added Personal Name	Tschinkel, Yuri
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed.
Publication	Boston : Birkhäuser , 2010.
Physical Details	X, 314 pages, 47 illus. : online resource.
Series	Progress in mathematics ; 282
ISBN	9780817649340
Summary Note	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. BÃ¶hning 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:
Contents note	Preface -- Unremified cohomology of finite groups of Lie type -- The rationality of the moduli space of curves of genus 3 after P. Katsylo -- The rationality of certain moduli spaces of curves of genus 3 -- On sextic double solids -- Moduli stacks of vector bundles on curves and the King--Schofield rationality proof -- Noether's problem for some p-groups -- Generalized homological mirror symmetry and rationality questions -- The Bogomolov multiplier of finite simple groups -- The rationality problem and birational rigidity.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-8176-4934-0
Links to Related Works	Subject References: Algebraic Geometry . Geometry, Algebraic . Group theory . Group Theory and Generalizations . Mathematics . Topological groups . Topological groups, Lie groups . Authors: Bogomolov, Fedor, 1946- . editor . Tschinkel, Yuri . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 516.35 .

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Cohomological and Geometric Approaches to Rationality Problems: New Perspectives

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