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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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