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Lectures on K3 surfaces[electronic r...

Huybrechts, Daniel.

Lectures on K3 surfaces[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	516.352
書名/作者:	Lectures on K3 surfaces/ Daniel Huybrechts.
作者:	Huybrechts, Daniel.
出版者:	Cambridge : : Cambridge University Press,, 2016.
面頁冊數:	xi, 485 p. : : ill., digital ;; 24 cm.
標題:	Surfaces, Algebraic.
標題:	Threefolds (Algebraic geometry)
標題:	Geometry, Algebraic.
ISBN:	9781316594193
ISBN:	9781107153042
摘要、提要註:	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.
電子資源:	https://doi.org/10.1017/CBO9781316594193

Lectures on K3 surfaces[electronic resource] /
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: 9781316594193Subjects--Topical Terms:

639845
Surfaces, Algebraic.

LC Class. No.: QA571 / .H89 2016

Dewey Class. No.: 516.352

Lectures on K3 surfaces[electronic resource] /
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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 639845
650 0 $a Threefolds (Algebraic geometry) $3 711629
650 0 $a Geometry, Algebraic. $3 433494
830 0 $a Cambridge studies in advanced mathematics ; $v 105. $3 642377
856 4 0 $u https://doi.org/10.1017/CBO9781316594193

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