Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015
Author:   Rita Pardini ,  Gian Pietro Pirola ,  Arnaud Beauville ,  Brendan Hassett
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2016
Volume:   2172
ISBN:  

9783319462080


Pages:   170
Publication Date:   07 December 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015


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Overview

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.

Full Product Details

Author:   Rita Pardini ,  Gian Pietro Pirola ,  Arnaud Beauville ,  Brendan Hassett
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2016
Volume:   2172
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   2.818kg
ISBN:  

9783319462080


ISBN 10:   3319462083
Pages:   170
Publication Date:   07 December 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of 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.

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