20/06/21 08:08:24.19 W0WIc7wX.net
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・ザリスキの主定理:
URLリンク(ja.wikipedia.org)
オスカー・ザリスキ
主な業績は、ザリスキ位相の導入やザリスキの主定理(英語版)の証明を含む可換環論と代数幾何の融合である。
弟子に、ダニエル・ゴーレンシュタイン、広中平祐、ミハイル・アルティン、デヴィッド・マンフォード、ロビン・ハーツホーンら著名な数学者がたくさんおり、優れた指導者でもあった。
URLリンク(en.wikipedia.org)
Zariski's main theorem
In algebraic geometry, Zariski's main theorem, proved by Oscar Zariski (1943), is a statement about the structure of birational morphisms stating roughly that there is only one branch at any normal point of a variety. It is the special case of Zariski's connectedness theorem when the two varieties are birational.
Zariski's main theorem can be stated in several ways which at first sight seem to be quite different, but are in fact deeply related. Some of the variations that have been called Zariski's main theorem are as follows:
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The name "Zariski's main theorem" comes from the fact that Zariski labelled it as the "MAIN THEOREM" in Zariski (1943).
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