ガロア第一論文及びその関連の資料スレ

[過去ﾛｸﾞ] ガロア第一論文及びその関連の資料スレ (1002ﾚｽ)
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927: １３２人目の素数さん [] 2023/03/01(水) 12:10:28.70 ID:Ad/XWAWT

>>906
>logの由来は、川又先生かな。広中の特異点解消を見たけど、logの由来は見つからなかったから

下記ここらがlogの淵源か

（参考）
https://en.wikipedia.org/wiki/Vyacheslav_Shokurov
Vyacheslav Shokurov born 18 May 1950

Work on birational geometry

Log flips

in 1985, Shokurov published a paper titled The nonvanishing theorem, which became a cornerstone for the whole MMP as it was used in the proofs of such fundamental theorems as the Cone theorem and the Semi-ampleness theorem. Also in this paper, Shokurov proved the termination of three-dimensional flips. And even though he proved this only for three-dimensional varieties, most of his techniques were later generalized by Yujiro Kawamata to obtain similar results for varieties of any dimension.

One of Shokurov's ideas formed a basis for a paper titled 3-fold log flips where the existence of three-dimensional flips (first proved by Shigefumi Mori) was established in a more general log setting. The inductive method and the singularity theory of log pairs developed in the framework of that paper allowed most of the paper's results to be later generalized to arbitrary-dimensional varieties. Later on, in 2001, Shokurov announced the proof of the existence of 4-dimensional log flips, whose complete version appeared in two books: Flips for 3-folds and 4-folds and Birational geometry: linear systems and finitely-generated algebras. An application of Shokurov's ideas concerning the existence of log flips has led to the paper Existence of minimal models for varieties of log general type by Caucher Birkar, Paolo Cascini, Christopher Hacon and James McKernan.

つづく

http://rio2016.5ch.net/test/read.cgi/math/1615510393/927

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