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Lectures on K3 surfaces

Huybrechts, Daniel.

Lectures on K3 surfaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lectures on K3 surfacesDaniel Huybrechts.
Author:	Huybrechts, Daniel.
Published:	Cambridge :Cambridge University Press,2016.
Description:	xi, 485 p. :ill., digital ;24 cm.
Subject:	Surfaces, Algebraic.
Online resource:	https://doi.org/10.1017/CBO9781316594193
ISBN:	9781316594193$q(electronic bk.)

Lectures on K3 surfaces
Huybrechts, Daniel.

Lectures on K3 surfaces[electronic resource] /Daniel Huybrechts. - Cambridge :Cambridge University Press,2016. - xi, 485 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;158. - Cambridge studies in advanced mathematics ;105..

K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi-Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin-Tate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers.

ISBN: 9781316594193$q(electronic bk.)Subjects--Topical Terms:

345794
Surfaces, Algebraic.

LC Class. No.: QA571 / .H89 2016

Dewey Class. No.: 516.352

Lectures on K3 surfaces
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245 1 0 $a Lectures on K3 surfaces $h [electronic resource] / $c Daniel Huybrechts.
260 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a xi, 485 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 158
520 $a K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi-Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin-Tate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers.
650 0 $a Surfaces, Algebraic. $3 345794
650 0 $a Threefolds (Algebraic geometry) $3 273067
650 0 $a Geometry, Algebraic. $3 190843
830 0 $a Cambridge studies in advanced mathematics ; $v 105. $3 541725
856 4 0 $u https://doi.org/10.1017/CBO9781316594193