Advertisement

Category theory in Algebraic Geometry

Part of the Science Networks. Historical Studies book series (SNHS, volume 32)

Abstract

In the sequel to his work on sheaf cohomology, Grothendieck in the period 1958–1970 undertakes a complete renewal of the conceptual bases of algebraic geometry. CT intervenes at every stage of this conceptual work, for instance in the introducion of the fundamental concepts of scheme and topos and in important characteristics of Grothendieck’s methodology (descent, relativization). All these innovations are tested, for instance, in the case of the so-called Weil conjectures, but in this case, Grothendieck’s approach yielded only partial results.

Keywords

Topological Space Algebraic Geometry Prime Ideal Category Theory Nilpotent Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag AG 2007

Personalised recommendations