• Corpus ID: 15865304

Characteristic 1 , entropy and the absolute point

  title={Characteristic 1 , entropy and the absolute point},
  author={Alain Connes and Caterina Consani},
We show that the mathematical meaning of working in characteristic one is directly connected to the fields of idempotent analysis and tropical algebraic geometry and we relate this idea to the notion of the absolute point Spec F1. After introducing the notion of “perfect” semi-ring of characteristic one, we explain how to adapt the construction of the Witt ring in characteristic p > 1 to the limit case of characteristic one. This construction also unveils an interesting connection with entropy… 

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