Is there someone who knows the title of the original publication of Grothendieck on the construction of the Grothendieck group?

Thanks in advance.


1 Answer 1


What seems to be clear is that the origin of the Grothendieck group is Grothendieck's work on Riemann-Roch's theorem around 1956.

According to Weibel's The Development of Algebraic K-theory before 1980 (which is certainly worth reading!), the original source is Classes de faisceaux et théorème de Riemann-Roch, some mimeographed notes from 1957 who were later published (in 1971) in Théorie des intersections et théorème de Riemann-Roch (SGA6).

In his Lecture Notes on Algebraic K-theory, Rognes links to Borel and Serre, Le théorème de Riemann-Roch, Bulletin de la Société Mathématique de France 86 (1958) “for the published exposition.”


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