Group Cohomology and Algebraic Cycles | Buch

Cover: 9781107015777 | Group Cohomology and Algebraic Cycles | Burt Totaro | Buch | Englisch

Rückseite: 9781107015777 | Group Cohomology and Algebraic Cycles | Burt Totaro | Buch | Englisch

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

155,95 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 1-2 Wochen

Kategorien:

Beschreibung

Group cohomology reveals a deep relationship between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic geometry more broadly. This book presents a coherent suite of computational tools for the study of group cohomology and algebraic cycles. Early chapters synthesize background material from topology, algebraic geometry, and commutative algebra so readers do not have to form connections between the literatures on their own. Later chapters demonstrate Peter Symonds's influential proof of David Benson's regularity conjecture, offering several new variants and improvements. Complete with concrete examples and computations throughout, and a list of open problems for further study, this book will be valuable to graduate students and researchers in algebraic geometry and related fields.

Über den Autor

Burt Totaro is a Professor of Mathematics at the University of California, Los Angeles. He was elected a Fellow of the Royal Society in 2009.

Inhaltsverzeichnis

Preface; 1. Group cohomology; 2. The Chow ring of a classifying space; 3. Depth and regularity; 4. Regularity of group cohomology; 5. Generators for the Chow ring; 6. Regularity of the Chow ring; 7. Bounds for p-groups; 8. The structure of group cohomology and the Chow ring; 9. Cohomology mod transfers is Cohen-Macaulay; 10. Bounds for group cohomology and the Chow ring modulo transfers; 11. Transferred Euler classes; 12. Detection theorems for cohomology and Chow rings; 13. Calculations; 14. Groups of order p¿; 15. Geometric and topological filtrations; 16. The Eilenberg-Moore spectral sequence in motivic cohomology; 17. The Chow-Künneth conjecture; 18. Open problems.

Details

Erscheinungsjahr:	2014
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
ISBN-13:	9781107015777
ISBN-10:	1107015774
Sprache:	Englisch
Einband:	Gebunden
Autor:	Totaro, Burt
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	235 x 157 x 19 mm
Von/Mit:	Burt Totaro
Erscheinungsdatum:	08.04.2014
Gewicht:	0,555 kg