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Rationality problems in algebraic geometry : Levico Terme, Italy 2015 / Arnaud Beauville...[et al.].

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics ; 2172. | CIME Foundation subseriesPublication details: Switzerland : Springer, 2016.Description: viii, 167 pages : illustrations ; 24 cmISBN:
  • 9783319462080
Subject(s): DDC classification:
  • 516.35 23 B385
Contents:
The Lüroth problem -- Cubic Fourfolds, K3 Surfaces, and Rationality Questions -- Derived categories view on rationality problems -- Classical moduli spaces and Rationality -- Unirationality of Moduli Spaces of Special Cubic Fourfolds and K3 Surfaces / Howard Nuer
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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 516.35 B385 (Browse shelf(Opens below)) Available 137729
Total holds: 0

Includes bibliographical references.

The Lüroth problem --
Cubic Fourfolds, K3 Surfaces, and Rationality Questions --
Derived categories view on rationality problems --
Classical moduli spaces and Rationality --
Unirationality of Moduli Spaces of Special Cubic Fourfolds and K3 Surfaces / Howard Nuer

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.

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