Rationality Problems in Algebraic Geometry

Beschreibung

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.


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.

A collaboration with CIRM, Trento Provides an up-to-date survey of results on rationality of algebraic varieties Gives a comprehensive introduction to the subject, accessible to non-specialists Each chapter includes a large bibliography

Autor*in

Rita Pardini

Themen in »Rationality Problems in Algebraic Geometry«

14E08, 14F05, 14H10 rational and unirational varieties Fano manifolds cubic fourfold derived category moduli of curves K3 surfaces

Stimmen zu »Rationality Problems in Algebraic Geometry«

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