Algebraic Geometry I
From the reviews: "Although several textbooks on modern algebraic geometry have been published in the meantime, Mumford's "Volume I" is, together with its predecessor the red book of varieties and schemes, now as before one of the most excellent and profound primers of modern algebraic geometry. Both books are just true classics!" Zentralblatt
Search in google:
IntroductionPrerequisitesCh. 1Affine Varieties1Ch. 2Projective Varieties20Ch. 3Structure of Correspondences40Ch. 4Chow's Theorem59Ch. 5Degree of a Projective Variety70Ch. 6Linear Systems96Ch. 7Curves and Their Genus127Ch. 8The Birational Geometry of Surfaces156Bibliography181List of Notations183Index184
