TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - Basic Algebraic Geometry 1: Varieties in Projective Space 
SN  - 9783642379567
AV  - QA564-609 
U1  - 516.35 23
PY  - 2013///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Mathematics
KW  - Geometry, algebraic
KW  - Algebraic Geometry
KW  - Theoretical, Mathematical and Computational Physics
N1  - Preface -- Book 1. Varieties in Projective Space: Chapter 1. Basic Notions -- Chapter II. Local Properties -- Chapter III. Divisors and Differential Forms -- Chapter IV. Intersection Numbers -- Algebraic Appendix -- References -- Index
N2  - 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, Shafarevichs 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
UR  - http://dx.doi.org/10.1007/978-3-642-37956-7
ER  -