Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000001194608 | QA564 .S45 1974 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
The second volume of Shafarevich's introductory book on algebraic varieties and complex manifolds. As with Volume 1, the author has revised the text and added new material, e.g. as a section on real algebraic curves. Although the material is more advanced than in Volume 1 the algebraic apparatus is kept to a minimum, making the book accessible to non-specialists. It can be read independently of Volume 1 and is suitable for beginning graduate students in mathematics as well as those in theoretical physics.
Author Notes
Igor Rostislavovich Shafarevich was born in Zhitomir, Ukraine on June 3, 1923. He graduated from Moscow State University with a specialty in astronomy. He taught at Moscow State University for more than 30 years. He was an internationally renowned mathematician who played a central role in the anti-Soviet dissident movement during the Cold War. His textbooks on algebraic geometry were translated into English and regarded as classics in the field. He also wrote The Socialist Phenomenon and contributed essays to From Under the Rubble. He died on February 19, 2017 at the age of 93.
(Bowker Author Biography)
Reviews 1
Choice Review
Shafarevich's expanded version of his 1977 single-volume work covers essential material on projective varieties and schemes, and now offers more connection with elementary topics as well as additional material (in volume 1) on singularities and applications to numbers theory and (in volume 2) moduli spaces, representable functors (particularly the Hilbert scheme), and K^D"ahler geometry, although there is still no treatment of cohomology. What has not changed about the work is the fine sense it offers of the subject as a whole as well as much of the useful "lore" of algebraic geometry. Until very recently, there were just a handful of introductory books on algebraic geometry that conveyed a sense of the range, depth, and spirit of the subject. It is good to see this wonderful classic return in an improved form for the 1990s. Recommended for upper-division undergraduates (especially volume 1); highly recommended for graduate students and faculty.
