Classical Algebraic Geometry A Modern View by Igor Dolgachev (PDF)
About this book :-
The main purpose of this text present treatise is to give an account of some of the topics in algebraic geometry which while having occupied the minds of many mathematicians in previous generations have fallen out of fashion in modern times.
This is a graduate-level textbook that revisits the beautiful results of nineteenth-century algebraic geometry such as plane curves, special surfaces, theta functions, Cremona transformations, and lines on cubic surfaces (using modern language and techniques). It brings back classic theorems often hidden in older literature and presents them clearly with over 220 exercises and more than 600 references. Reviewers praise it as a “mathematical time-travel book” that preserves and revitalizes the legacy of the classical geometers for today’s audience.
Book Detail :-
Title:
Classical Algebraic Geometry A Modern View by Igor Dolgachev (PDF)
Publisher:
Cambridge University Press
Year:
2012
Pages:
722
Type:
PDF
Language:
English
ISBN-10 #:
1107017653
ISBN-13 #:
978-3642725494
License:
Linked Content Owned by Author
Amazon:
Amazon
About Author :-
The author
Igor V. Dolgachev
(born 1944) is a Russian–American mathematician. He is well known for his work in algebraic geometry. He earned his Ph.D. from Moscow State University in 1970 under Igor Shafarevich and moved to the U.S. in 1977. Since 1978, he has been a professor at the University of Michigan, where he became Professor Emeritus in 2011. Dolgachev's research focuses on algebraic geometry, especially the study of algebraic surfaces, singularities, vector bundles, invariant theory, and classical geometry methods. He introduced the influential "Dolgachev surfaces" in 1981, which are important examples in the theory of 4-dimensional manifolds.
Book Contents :-
1. Polarity page
2. Conics and quadric surfaces
3. Plane cubics
4. Determinantal equations
5. Theta characteristics
6. Plane Quartics
7. Cremona transformations
8. Del Pezzo surfaces
9. Cubic surfaces
10. Geometry of Lines
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