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arxiv: 1009.0121 · v6 · pith:AKTCSJUTnew · submitted 2010-09-01 · 🧮 math.AG

Construction of schemes over F₁, and over idempotent semirings: towards tropical geometry

classification 🧮 math.AG
keywords functorgeneralsemiringsspectrumadjointcategoricalconstructiondefining
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In this paper, we give some categorical description of the general spectrum functor, defining it as an adjoint of a global section functor. The general spectrum functor includes that of $F_1$ and of semirings.

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