Shafarevich, I. R. 1923-2017

Basic algebraic geometry 1 : varieties in projective space / Igor R. Shafarevich - Third edition. - xviii, 310 pages : illustrations, 24 cm.

Includes index.

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

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.

9783642427268 (pbk)


Geometry, Algebraic.
Algebraic varieties

516.35 / S5251b 2013