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Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015
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Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015

Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015

Rita / Pirola Pardini - Collection Yellow Sale 2023

170 pages, parution le 06/12/2016

Résumé

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.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.
Introduction.-Arnaud Beauville: The Luroth problem.-Brendan Hassett: Cubic Fourfolds, K3 Surfaces, and Rationality Questions.- Alexander Kuznetsov: Derived categories view on rationality problems.- Alessandro Verra: Classical moduli spaces and Rationality.- Howard Nuer: Unirationality of Moduli Spaces of Special Cubic Fourfolds and K3 Surfaces.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Rita / Pirola Pardini
Collection Yellow Sale 2023
Parution 06/12/2016
Nb. de pages 170
EAN13 9783319462080

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