Page "Alexander Grothendieck" Paragraph 31

In 1956, he applied the same thinking to the Riemann – Roch theorem, which had already recently been generalized to any dimension by Hirzebruch.

The Grothendieck – Riemann – Roch theorem was announced by Grothendieck at the initial Mathematische Arbeitstagung in Bonn, in 1957.

It appeared in print in a paper written by Armand Borel with Serre.

This result was his first major achievement in algebraic geometry.

He went on to plan and execute a major foundational programme for rebuilding the foundations of algebraic geometry, which were then in a state of flux and under discussion in Claude Chevalley's seminar ; he outlined his programme in his talk at the 1958 International Congress of Mathematicians.