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arXiv · 1009.0121

Construction of schemes over $F_1$, and over idempotent semirings: towards tropical geometry

Satoshi Takagi
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Abstract

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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Satoshi Takagi. 2011-05-31. Construction of schemes over $F_1$, and over idempotent semirings: towards tropical geometry. https://arxiv.org/abs/1009.0121

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