Lectures on Fermat Varieties

The study of Fermat varieties is a fascinating interplay of techniques from algebraic geometry and number theory. This book is an introduction to the methods of arithmetical algebraic geometry by one of the leading experts in the field. The book is drawn from courses of graduate lectures in Paris and Tokyo and introduces the reader to the basic techniques of the subject including Betti numbers, Hodge structure and the explicit construction of algebraic cycles. Professor Shioda also discusses Abelian and Delsarte varieties of Fermat type and the Tate conjecture.