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Construction of schemes over $F_1$, and over idempotent semirings: towards tropical geometry (1009.0121v6)

Published 1 Sep 2010 in math.AG

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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