Cohomological and Geometric Approaches to Rationality Problems New Perspectives /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bogomolov, Fedor (Editor), Tschinkel, Yuri (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2010.
• Edition: 1.
• Series: Progress in Mathematics ; 282
• Subjects: Mathematics.; Algebraic geometry.; Group theory.; Topological groups.; Lie groups.; Algebraic Geometry.; Group Theory and Generalizations.; Topological Groups, Lie Groups.

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 on...

Table of Contents:

• The Rationality of Certain Moduli Spaces of Curves of Genus 3
• The Rationality of the Moduli Space of Curves of Genus 3 after P. Katsylo
• Unramified Cohomology of Finite Groups of Lie Type
• Sextic Double Solids
• Moduli Stacks of Vector Bundles on Curves and the King#x2013;Schofield Rationality Proof
• Noether#x2019;s Problem for Some -Groups
• Generalized Homological Mirror Symmetry and Rationality Questions
• The Bogomolov Multiplier of Finite Simple Groups
• Derived Categories of Cubic Fourfolds
• Fields of Invariants of Finite Linear Groups
• The Rationality Problem and Birational Rigidity.