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vitriol83 | 4 years ago

Modern Algebraic Geometry is indeed highly abstract, but generally the conjuring of obscure objects is with a specific goal in mind, for example

- consolidation of many types of results into a `simple' theoretical framework, I suppose this originates with Noether, and reaches it apotheosis in Bourbaki's tracts.

- embedding of 'classical' objects (solutions to polynomial equations) inside a larger 'category' (schemes) where certain mysterious relations observed in the classical world (Weil Conjectures) have a more `natural' interpretation (fixed point theorem) and light the way to a proof which would have otherwise been beyond reach

discuss

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