Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015: 2172 (Lecture Notes in Mathematics, 2172) - Softcover

Beauville, Arnaud; Hassett, Brendan; Kuznetsov, Alexander; Verra, Alessandro

Softcover

ISBN 10: 3319462083 ISBN 13: 9783319462080

Publisher: Springer, 2016

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2016
• Language: English
• ISBN 10: 3319462083
• ISBN 13: 9783319462080
• Binding: Paperback
• Edition number: 1
• Number of pages: 178
• Editor: Pardini Rita, Pirola Gian Pietro