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A category theoretic approach to the theory of schemes

Gurney, Lance Rory


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]

CollectionsOpen Access Theses
Date published: 2011
Type: Thesis (MPhil)
DOI: 10.25911/5d5fc9cd91407
Access Rights: Open Access


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