A category theoretic approach to the theory of schemes
We give a streamlined and self-contained construction of the category of schemes from the functor of points perspective. In the first part the necessary preliminary material is reviewed. We begin with some brief remarks on set theory in order to avoid size issues. Then the necessary facts from category theory are recalled, in particular the definition and standard properties of functor categories with values in the category of sets. Then the necessary facts from commutative algebra are...[Show more]
|Collections||Open Access Theses|
|Access Rights:||Open Access|
|b30953303_Gurney_Lance Rory.pdf||371.51 MB||Adobe PDF|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.