This English edition of Yuri I. Manin's well-received lecture notes provides a concise but extremely lucid exposition of the basics of algebraic geometry and sheaf theory. The lectures were originally held in Moscow in the late 1960s, and the corresponding preprints were widely circulated among Russian mathematicians.
This book will be of interest to students majoring in algebraic geometry and theoretical physics (high energy physics, solid body, astrophysics) as well as to researchers and scholars in these areas.
"This is an excellent introduction to the basics of Grothendieck's theory of schemes; the very best first reading about the subject that I am aware of. I would heartily recommend every grad student who wants to study algebraic geometry to read it prior to reading more advanced textbooks."- Prof. Alexander Beilinson
Provides a concise but extremely lucid exposition of the basics of algebraic geometry and sheaf theory accompanied by illuminating examples
Requires no prerequisites apart from the basic knowledge of abstract algebra
Facilitates understanding of the key notions of supersymmetry theory - a working tool of modern theoretical physics
Provides a concise but extremely lucid exposition of the basics of algebraic geometry and sheaf theory accompanied by illuminating examples Requires no prerequisites apart from the basic knowledge of abstract algebra Facilitates understanding of the key notions of supersymmetry theory - a working tool of modern theoretical physics
Yuri I. Manin
spectrum of a ring sheaf theory Manin algebraic geometry lecture notes
“This slim volume is still a valuable introduction to schemes and nicely complements the textbooks on this topic which have appeared in the meantime.” (C. Baxa, Monatshefte für Mathematik, Vol. 201 (4), August, 2023)