Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015

by Arnaud Beauville, Rita Pardini (Editor), Gian Pietro Pirola (Editor), Brendan Hassett, Alexander Kuznetsov

Overview

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.

Product Details

ISBN-13:	9783319462080
Publisher:	Springer International Publishing
Publication date:	06/16/2017
Series:	Lecture Notes in Mathematics , #2172
Edition description:	1st ed. 2016
Pages:	170
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

Introduction.-Arnaud Beauville: The Lüroth 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.