Lectures on K3 Surfaces (Cambridge Studies in Advanced Mathematics #158) (Hardcover)

Lectures on K3 Surfaces (Cambridge Studies in Advanced Mathematics #158) By Daniel Huybrechts Cover Image
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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.

Product Details
ISBN: 9781107153042
ISBN-10: 1107153042
Publisher: Cambridge University Press
Publication Date: September 26th, 2016
Pages: 496
Language: English
Series: Cambridge Studies in Advanced Mathematics