Context: I recently chatted with a postdoc from russia, and we somehow got on the topic of learning mathematics and textbooks, and he told me about a wonderful textbook by Yuri Manin, on algebraic geometry which was written at the beginning of the seventies and wildely used for a long time in the former SU. He was so full of praise that I decided to check it out.
Now the problem I checked our library catalog and amazon.com and can't find anything that I can identify as this AG-textbook.
Question:
So does this book exists? What's it's title? Was it maybe not translated?.
Q2:
If anyone has anything interesting to say about the book this would also be appreciated.
PS: I also speak german so if you know a german translation please also post.
Best Answer
Do you mean these:
Lectures on algebraic geometry. Part I: Affine schemes (Russian)
Lectures in algebraic geometry. Part II: The $K$-functor in algebraic geometry (Russian, English version)
Apparently the second is based on Théorie globale des intersections et théorème de Riemann-Roch SGA 6, Exp. 0.
Here are some djvu scans of the Russian versions:
Лекции по алгебраической геометрии. Часть 1. Аффинные схемы,
Лекции по алгебраической геометрии. Часть 2. К-функтор в алгебраической геометрии