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Charles Matthews
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Did Durov's work give an example of noncommutative schemes?

I just took a look at the nlab entry: Nikolai Durov. It seems that Skoda never mentioned that what Durov introduced was a special case of generalized scheme theory. I did not read his dissertation carefully or completely. I wonder whether his "generalized scheme" is a special case of noncommutative scheme in the sense of A. Rosenberg.

I will give a talk on noncommutative schemes in a few days. Now I am collecting interesting examples of noncommutative schemes (quasi schemes). Examples that I already know are:

commutative schemes; D-modules; quantum D-modules; almost schemes by Gabber; general Grothendieck category (abelian category); Artin-Zhang noncommutative projective schemes; quantum flag variety in the sense of Rosenberg and Lunts; holonomic D-modules.

Thanks!

Shizhuo Zhang
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