An authoritative introduction to the essential features of -le cohomologyA. Grothendieck-s work on algebraic geometry is one of the most important mathematical achievements of the twentieth century. In the early 1960s, he and M. Artin introduced -le cohomology to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry but also in several different branches of number theory and in the representation theory of finite and p-adic groups. In this classic book, James Milne provides an invaluable introduction to -le cohomology, covering the essential features of the theory. Milne begins with a review of the basic properties of flat and -le morphisms and the algebraic fundamental group. He then turns to the basic theory of -le sheaves and elementary -le cohomology, followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of
