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Rationality Problems in Algebraic Geometry = Levico Terme, Italy 2015 /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Rationality Problems in Algebraic Geometry/ by Arnaud Beauville, Brendan Hassett, Alexander Kuznetsov, Alessandro Verra ; edited by Rita Pardini, Gian Pietro Pirola.
Reminder of title:	Levico Terme, Italy 2015 /
Author:	Beauville, Arnaud.
other author:	Hassett, Brendan.
Description:	VIII, 170 p. 35 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebraic geometry. -
Online resource:	https://doi.org/10.1007/978-3-319-46209-7
ISBN:	9783319462097

Rationality Problems in Algebraic Geometry = Levico Terme, Italy 2015 /
Beauville, Arnaud.

Rationality Problems in Algebraic GeometryLevico Terme, Italy 2015 /[electronic resource] :by Arnaud Beauville, Brendan Hassett, Alexander Kuznetsov, Alessandro Verra ; edited by Rita Pardini, Gian Pietro Pirola. - 1st ed. 2016. - VIII, 170 p. 35 illus., 1 illus. in color.online resource. - C.I.M.E. Foundation Subseries ;2172. - C.I.M.E. Foundation Subseries ;2141.

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.

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:

1255324
Algebraic geometry.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

Rationality Problems in Algebraic Geometry = Levico Terme, Italy 2015 /
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