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Author ORCID Identifier
N/A
AccessType
Open Access Dissertation
Document Type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics
Year Degree Awarded
2017
Month Degree Awarded
September
First Advisor
Ivan Mirkovic
Subject Categories
Algebraic Geometry
Abstract
We construct a category, $\Omega$, of which the objects are pointed categories and the arrows are pointed correspondences. The notion of a ``spec datum" is introduced, as a certain relation between categories, of which one has been given a Grothendieck topology. A ``geometry" is interpreted as a sub-category of $\Omega$, and a formalism is given by which such a subcategory is to be associated to a spec datum, reflecting the standard construction of the category of schemes from the category of rings by affine charts.
DOI
https://doi.org/10.7275/10691288.0
Recommended Citation
Willocks, Bradley, "A CATEGORICAL FORMULATION OF ALGEBRAIC GEOMETRY" (2017). Doctoral Dissertations. 1137.
https://doi.org/10.7275/10691288.0
https://scholarworks.umass.edu/dissertations_2/1137