Rationality Problems in Algebraic Geometry PDF Download

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Rationality Problems in Algebraic Geometry

Rationality Problems in Algebraic Geometry PDF Author: Arnaud Beauville
Publisher: Springer
ISBN: 3319462091
Category : Mathematics
Languages : en
Pages : 176

Book Description
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.