Cohomological and Geometric Approaches to Rationality Proble
(Sprache: Englisch)
This volume provides an overview of rationality problems by surveying research from leading experts in the field. Readers will find coverage of rationality problems from both cohomological and algebraic geometry perspectives.
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This volume provides an overview of rationality problems by surveying research from leading experts in the field. Readers will find coverage of rationality problems from both cohomological and algebraic geometry perspectives.
Klappentext zu „Cohomological and Geometric Approaches to Rationality Proble “
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.
Inhaltsverzeichnis zu „Cohomological and Geometric Approaches to Rationality Proble “
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.-generalitzed homological mirror symmetry and rationality questions.- The Bogomolov multiplier of finite simple groups.- The rationality problem and birational rigidity.
Bibliographische Angaben
- 2010, X, 314 Seiten, 47 Schwarz-Weiß-Abbildungen, Maße: 16,6 x 24,4 cm, Gebunden, Englisch
- Herausgegeben: Fedor Bogomolov, Yuri Tschinkel
- Verlag: Springer Basel AG
- ISBN-10: 0817649336
- ISBN-13: 9780817649333
Sprache:
Englisch
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