Rationality Problems in Algebraic Geometry : Levico Terme, Italy 2015 / by Arnaud Beauville, Brendan Hassett, Alexander Kuznetsov, Alessandro Verra ; edited by Rita Pardini, Gian Pietro Pirola.

Format:

Book

Author/Creator:

Beauville, Arnaud, author.

Hassett, Brendan, author.

Kuznetsov, Alexander, 1973- author.

Verra, Alessandro, author.

Contributor:

Pardini, Rita, editor.

Pirola, Gian Pietro, editor.

Series:

C.I.M.E. Foundation Subseries, 2946-1820 ; 2172

Language:

English

Subjects (All):

Geometry, Algebraic.

Algebraic Geometry.

Local Subjects:

Algebraic Geometry.

Physical Description:

1 online resource

Edition:

1st ed. 2016.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2016.

System Details:

text file PDF

Summary:

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.

Contents:

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.

Other Format:

Print version: Rationality problems in algebraic geometry.

ISBN:

3-319-46209-1

OCLC:

967720183