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
Grothendieck, which have so changed the character of algebraic geometry
in recent years, are used systematically throughout. Thus the classical
material is presented from a new viewpoint.