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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.

edited Aug 4 2011 at 10:42

Ben Webster♦
20.7k●1●44●114

asked Aug 4 2011 at 6:23

sisn
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David Roberts · Accepted Answer · 2011-08-04 08:41:48Z UTC

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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:

edited Aug 4 2011 at 8:41

answered Aug 4 2011 at 6:52

David Roberts
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Thanks I guess that's exactly the book/lecture notes. Does anyone know whether a translation exists? – sisn Aug 4 2011 at 17:18

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Yes, at least for the second. I have a copy of "Lectures on the K-functor..." in English from Russian Math. Surveys vol 24, 1969. – Donu Arapura Aug 4 2011 at 18:40

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I have both, the affine schemes , but some Moscow people told me that there was another version which is bigger than affine schemes volume and has no intersection with K-theory chapters in UMN. I am not sure if this is true. – Zoran Škoda Aug 4 2011 at 20:25

thanks to both of you for your comments. @Thanks Donu this was really helpful, sadly the article is 60$, I will try to check if we have an institutional subscription. @Zoran This sounds interesting too, where did you get your's from? – sisn Aug 4 2011 at 21:40

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@sisn: "K-functor..." from Russ. Math. Surv.: justpasha.org/math/links/files/manin/… – Pasha Zusmanovich Aug 8 2011 at 14:52

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Dmitry K · Answer 2 · 2012-05-14 11:33:02Z UTC

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Hope this helps: http://mathoverflow.net/questions/89530/manins-lectures-on-algebraic-geometry/96884#96884

Its the first part of Manin's 1966-1968 course (the one Zoran mentioned), chapters 1-26 . It's been scanned just recently.

answered May 14 2012 at 11:33

Dmitry K
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Manin’s algebraic geometry textbook?

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