The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research.

The book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in a

Two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory, by well-known experts in the fields. The book will be

An introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint.

In recent years, there has been increasing interest and activity in the area of group actions on affine and projective algebraic varieties. Tech niques from var