[過去ﾛｸﾞ] ガロア第一論文と乗数イデアル他関連資料スレ3 (1002ﾚｽ)
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348(1): 2023/04/25(火)17:09 ID:o6Fjvluy(6/9) AAS
>>347
つづき

外部ﾘﾝｸ:en.wikipedia.org
History of manifolds and varieties

Nomenclature
The term "manifold" comes from German Mannigfaltigkeit, by Bernhard Riemann.

In English, "manifold" refers to spaces with a differentiable or topological structure, while "variety" refers to spaces with an algebraic structure, as in algebraic varieties.
省5

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349: 2023/04/25(火)17:12 ID:o6Fjvluy(7/9) AAS
>>348

つづき

In the work of Niels Henrik Abel and Carl Jacobi, the answer was formulated: the resulting integral would involve functions of two complex variables, having four independent periods (i.e. period vectors). This gave the first glimpse of an abelian variety of dimension 2 (an abelian surface): what would now be called the Jacobian of a hyperelliptic curve of genus 2.

外部ﾘﾝｸ:ikuro-kotaro.サクラ.ne.jp/koramu/kukan.htm
■空間分割と１４面体

　ｖ＋ｆ＝ｅ＋２　　　（オイラーの多面体定理）→【補】
省7

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