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Localization and Affine Schemes over $\mathbb{F}_1$
We construct an affine geometry for commutative $\mathbb F_1$-algebras in the framework of Connes and Consani. Using their localization construction, we equip the Deitmar spectrum of the underlying multiplicative monoid $A(1_+)$ with a sheaf $\mathcal O_A$ of $\mathbb F_1$-algebras. We prove that $\
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