Rationality Problems in Algebraic Geometry

Levico Terme, Italy 2015

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Rationality Problems in Algebraic Geometry by Arnaud Beauville, Brendan Hassett, Alexander Kuznetsov, Alessandro Verra, Springer International Publishing
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Author: Arnaud Beauville, Brendan Hassett, Alexander Kuznetsov, Alessandro Verra ISBN: 9783319462097
Publisher: Springer International Publishing Publication: December 6, 2016
Imprint: Springer Language: English
Author: Arnaud Beauville, Brendan Hassett, Alexander Kuznetsov, Alessandro Verra
ISBN: 9783319462097
Publisher: Springer International Publishing
Publication: December 6, 2016
Imprint: Springer
Language: English

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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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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