These are notes on Algebraic Geometry. I plan to loosely follow the structure of Hartshorne’s Algebraic Geometry, filling in some details when necessary. I’ll also suppliment with Vakil’s The Rising Sea and other texts as needed. I’m following a rather depth-first approach with these notes, so LARGE sections will remain incomplete for a long time. These notes should not be viewed as a complete resource, but as an ad-hoc representation of what piques my interest from moment to moment.
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Classification of Surfaces
The classification of surfaces is one of the many great classical results of algebraic geometry. In this section we collect some notes necessary to support the classification.