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Rationality problems in algebraic ge...

Beauville, Arnaud.

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Rationality problems in algebraic geometry = Levico Terme, Italy 2015 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Rationality problems in algebraic geometry/ by Arnaud Beauville ... [et al.]. ; edited by Rita Pardini, Gian Pietro Pirola.
Reminder of title:	Levico Terme, Italy 2015 /
other author:	Beauville, Arnaud.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	viii, 167 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Arnaud Beauville: The Luroth 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.
Contained By:	Springer eBooks
Subject:	Geometry, Algebraic. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-46209-7
ISBN:	9783319462097

Rationality problems in algebraic geometry = Levico Terme, Italy 2015 /
Rationality problems in algebraic geometryLevico Terme, Italy 2015 /[electronic resource] :by Arnaud Beauville ... [et al.]. ; edited by Rita Pardini, Gian Pietro Pirola. - Cham :Springer International Publishing :2016. - viii, 167 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21720075-8434 ;. - Lecture notes in mathematics ;2172..

Introduction -- Arnaud Beauville: The Luroth 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.

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.

ISBN: 9783319462097

Standard No.: 10.1007/978-3-319-46209-7doiSubjects--Topical Terms:

532048
Geometry, Algebraic.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Rationality problems in algebraic geometry = Levico Terme, Italy 2015 /
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505 0 $a Introduction -- Arnaud Beauville: The Luroth 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.
520 $a 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.
650 0 $a Geometry, Algebraic. $3 532048
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650 2 4 $a Algebraic Geometry. $3 893861
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