Rationality Problems in Algebraic Geometry
Levico Terme, Italy 2015
Published on 6. December 2016
VIII, 170 pages
978-3-319-46209-7 (ISBN)
Description
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.
More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
VIII, 170 p. 35 illus., 1 illus. in color.
File size
3,02 MB
ISBN-13
978-3-319-46209-7 (9783319462097)
DOI
10.1007/978-3-319-46209-7
Schweitzer Classification
Other editions
Additional editions
Arnaud Beauville | Brendan Hassett | Alexander Kuznetsov
Rationality Problems in Algebraic Geometry
Levico Terme, Italy 2015
Book
12/2016
1st Edition
Springer
€53.49
Shipment within 10-15 days
Persons
Content
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.
