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Lectures on K3 Surfaces (Hardcover)
Loot Price: R1,933
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Lectures on K3 Surfaces (Hardcover)
Series: Cambridge Studies in Advanced Mathematics
Expected to ship within 12 - 17 working days
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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.
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