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arXiv · 1202.5085

Universality of the category of schemes

Satoshi Takagi
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Abstract

In this paper, we generalize the construction method of schemes to other algebraic categories, and show that the category of coherent schemes can be characterized by a universal property, if we fix the class of Grothendieck topology. Also, we introduce the notion of $\scr{C}$-schemes, which is a further generalization of coherent schemes and still shares common properties with ordinary schemes.

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Satoshi Takagi. 2012-02-23. Universality of the category of schemes. https://arxiv.org/abs/1202.5085

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