Lectures on K3 surfaces
Series: Cambridge studies in advanced mathematics ; 158Publication details: Cambridge University Press, 2016. Cambridge:Description: xi, 485 p. : ill. ; hb. ; 24 cmISBN:- 9781107153042
- 516.352 HUY
Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode |
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Books | IIT Gandhinagar General Stacks | General | 516.352 HUY (Browse shelf(Opens below)) | 1 | Available | 030124 |
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516.35 WUS Arithmetic and geometry: ten years in Alpbach | 516.352 BAR Compact complex surfaces | 516.352 BES Algebraic curves and their applications | 516.352 HUY Lectures on K3 surfaces | 516.352 KEN Guide to plane algebraic curves | 516.353 ARZ Cox rings | 516.353 LAK Flag varieties - an interplay of geometry, combinatorics and representation theory |
Formerly CIP.
Includes bibliographical references and index.
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.
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