These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and techniques of Grothendiec[...]

Mumford's famous "Red Book" gives a simple readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavour and integrating this with the tools of commutative algebra. It is aimed at mainly at graduate students and researchers.[...]