Igor R. Shafarevich, "Basic Algebraic Geometry 1: Varieties in Projective Space"
English | ISBN: 3642379559 | 2013 | PDF | 326 pages | 3 MB
English | ISBN: 3642379559 | 2013 | PDF | 326 pages | 3 MB
Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.''
The third edition, in addition to some minor corrections, now offers a new treatment of the Riemann–Roch theorem for curves, including a proof from first principles.
Shafarevich's book is an attractive and accessible introduction to algebraic geometry, suitable for beginning students and nonspecialists, and the new edition is set to remain a popular introduction to the field.