Rationality Problems in Algebraic Geometry

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Sprache: Englisch

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Beschreibung

Providing an overview of the state of the art on rationality questions in algebraic geometry, this volume gives an update on the most recent developments. It offers a comprehensive introduction to this fascinating topic, and will certainly become an essential reference for anybody working in the field. Rationality problems are of fundamental importance both in algebra and algebraic geometry. Historically, rationality problems motivated significant developments in the theory of abelian integrals, Riemann surfaces and the Abel¿Jacobi map, among other areas, and they have strong links with modern notions such as moduli spaces, Hodge theory, algebraic cycles and derived categories. This text is aimed at researchers and graduate students in algebraic geometry.

Zusammenfassung

A collaboration with CIRM, Trento

Provides an up-to-date survey of results on rationality of algebraic varieties

Gives a comprehensive introduction to the subject, accessible to non-specialists

Each chapter includes a large bibliography

Inhaltsverzeichnis

Introduction.-Arnaud Beauville: The Lüroth problem.-Brendan Hassett: Cubic Fourfolds, K3 Surfaces, and Rationality Questions.- Alexander Kuznetsov: Derived categories view on rationality problems.- Alessandro Verra: Classical moduli spaces and Rationality.- Howard Nuer: Unirationality of Moduli Spaces of Special Cubic Fourfolds and K3 Surfaces.

Erscheinungsjahr:	2016
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	viii 170 S. 34 s/w Illustr. 1 farbige Illustr. 170 p. 35 illus. 1 illus. in color.
ISBN-13:	9783319462080
ISBN-10:	3319462083
Sprache:	Englisch
Herstellernummer:	978-3-319-46208-0
Einband:	Kartoniert / Broschiert
Autor:	Beauville, Arnaud Kuznetsov, Alexander Verra, Alessandro Hassett, Brendan
Redaktion:	Pirola, Gian Pietro Pardini, Rita
Herausgeber:	Rita Pardini/Gian Pietro Pirola
Auflage:	1st edition 2016
Hersteller:	Springer Nature Switzerland Springer International Publishing Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 11 mm
Von/Mit:	Arnaud Beauville (u. a.)
Erscheinungsdatum:	07.12.2016
Gewicht:	0,283 kg