Basic algebraic geometry 1
varieties in projective space
Shafarevich, I. R. (Igor Rostislavovich)
1923-2017
creator
text
nyu
2013
Third edition.
monographic
eng
xviii, 310 pages : illustrations, 24 cm.
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, Shafarevichâ€™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.
1. Basic Notions -- 2. Local Properties -- 3. Divisors and Differential Forms -- 4. Intersection Numbers -- 5. Schemes -- 6. Varieties -- 7. The Topology of Algebraic Varieties -- 8. Complex Manifolds -- 9. Uniformisation
Igor R. Shafarevich
Includes index.
Geometry, Algebraic
Mathematics
Physics
Algebraic varieties
516.35 S5251b 2013
9783642427268 (pbk)
2013945284
DLC
130716
20200601164747.0
17813205
eng