Lectures on K3 Surfaces

Lectures on K3 Surfaces
Author :
Publisher : Cambridge University Press
Total Pages : 499
Release :
ISBN-10 : 9781316797259
ISBN-13 : 1316797252
Rating : 4/5 (252 Downloads)

Book Synopsis Lectures on K3 Surfaces by : Daniel Huybrechts

Download or read book Lectures on K3 Surfaces written by Daniel Huybrechts and published by Cambridge University Press. This book was released on 2016-09-26 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Lectures on K3 Surfaces Related Books

Lectures on K3 Surfaces
Language: en
Pages: 499
Authors: Daniel Huybrechts
Categories: Mathematics
Type: BOOK - Published: 2016-09-26 - Publisher: Cambridge University Press

GET EBOOK

K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eig
K3 Surfaces and Their Moduli
Language: en
Pages: 403
Authors: Carel Faber
Categories: Mathematics
Type: BOOK - Published: 2016-04-22 - Publisher: Birkhäuser

GET EBOOK

This book provides an overview of the latest developments concerning the moduli of K3 surfaces. It is aimed at algebraic geometers, but is also of interest to n
Complex Analysis and Algebraic Geometry
Language: en
Pages: 424
Authors: Kunihiko Kodaira
Categories: Mathematics
Type: BOOK - Published: 1977 - Publisher: CUP Archive

GET EBOOK

The articles in this volume cover some developments in complex analysis and algebraic geometry. The book is divided into three parts. Part I includes topics in
K3 Surfaces
Language: en
Pages: 250
Authors: Shigeyuki Kondō
Categories: Geometry, Algebraic
Type: BOOK - Published: 2020 - Publisher:

GET EBOOK

$K3$ surfaces are a key piece in the classification of complex analytic or algebraic surfaces. The term was coined by A. Weil in 1958 - a result of the initials
Compact Complex Surfaces
Language: en
Pages: 452
Authors: W. Barth
Categories: Mathematics
Type: BOOK - Published: 2003-11-13 - Publisher: Springer Science & Business Media

GET EBOOK

In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. The most sensatio