Language and Spacetime
Stability of Language
TANAKA Akio
1 Language has stability.
2
Stability is defined by the following.
From KAWAMATA Yujiro, Stab X that consists of the set having all
Refer to the next paper. KAWAMATA Yujiro Daisukikagaku to doraiken Sugaku 58-1 Iwanami Shoten 2006
3
Now blow up and blow down is presented.
φ: QY(M) → M
M is nonsingular variety. Y is M’s submanifold.
QY(M) is blow up along Y.
φis arrow of algebraic variety
φis called QY(M)’s blow down.
4
Also birational mapping that is extension of blow up and blow down is presented.
Birational mapping is what rational mappingφ: V→W has mapping ψ: W→V. Here existsφ∘ψ= idV ψ∘φ=idW.
5
By birational mapping, algebraic variety V, W and X is presented. These three are formed to be new distinguished triangle that is supposed to be equivalent with V, W and X.
6
Word that consists of category makes sentence that consists of distinguished triangle by birational mapping with algebraic method.
Tokyo April 30, 2007
Sekinan Research Field of Language
www.sekinan.org
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