From the reviews: "This volume... consists of two papers. The
first, written by V.V. Shokurov, is devoted to the theory of
Riemann surfaces and algebraic curves. It is an excellent overview
of the theory of relations between Riemann surfaces and their
models - complex algebraic curves in complex projective spaces. ...
The second paper, written by V.I. Danilov, discusses algebraic
varieties and schemes. ... I can recommend the book as a very good
introduction to the basic algebraic geometry." "European
Mathematical Society" "Newsletter, 1996"
..". To sum up, this book helps to learn algebraic geometry in a
short time, its concrete style is enjoyable for students and
reveals the beauty of mathematics." Acta Scientiarum Mathematicarum
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