EAN: 9783319462080

RATIONALITY PROBLEMS IN ALGEBRAIC GEOMETRY - AR...

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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