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- 暇つぶし2ch466:現代数学の系譜 雑談 古典ガロア理論も読む
19/12/14 10:28:37.87 s6Tab8iq.net
>>404
つづき
Introduction
Many writers have mused about algebraic geometry over deeper bases than the
ring Z of integers. Although there are several, possibly unrelated reasons for this,
here I will mention just two. The first is that the combinatorial nature of enumeration formulas in linear algebra over finite fields Fq as q tends to 1 suggests that,
just as one can work over all finite fields simultaneously by using algebraic geometry over Z, perhaps one could bring in the combinatorics of finite sets by working
over an even deeper base, one which somehow allows q = 1. It is common, following Tits [60], to call this mythical base F1, the field with one element. (See also
Steinberg [58], p.



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