[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2 (1002ﾚｽ)
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641(2): １３２人目の素数さん [] 2023/03/21(火)17:42 ID:8s9PZXQ2(13/20)
>>622
>乗数イデアルは最初 Demailly, Nadel, Siu 等の仕事において，複素解析的文脈で登場した．
これ
”Jean-Pierre Demailly (25 September 1957 ? 17 March 2022)”
か、まだ若かったのに。コロナかも
メモ貼る
(参考)
https://en.wikipedia.org/wiki/Demailly
Demailly is a French surname. Notable people with the surname include:
Jean-Pierre Demailly (1957?2022), French mathematician
https://en.wikipedia.org/wiki/Jean-Pierre_Demailly
Jean-Pierre Demailly (25 September 1957 ? 17 March 2022) was a French mathematician who worked in complex geometry.
Multiplier ideals
For a singular metric on a line bundle, Nadel, Demailly, and Yum-Tong Siu developed the concept of the multiplier ideal, which describes where the metric is most singular. There is an analog of the Kodaira vanishing theorem for such a metric, on compact or noncompact complex manifolds.[7] This led to the first effective criteria for a line bundle on a complex projective variety X of any dimension n to be very ample, that is, to have enough global sections to give an embedding of X into projective space. For example, Demailly showed in 1993 that 2K_{X}+12n^{n}L is very ample for any ample line bundle L, where addition denotes the tensor product of line bundles.
The method has inspired later improvements in the direction of the Fujita conjecture.[8]
Kobayashi hyperbolicity
https://en.wikipedia.org/wiki/Kobayashi_metric
つづく
642(2): １３２人目の素数さん [] 2023/03/21(火)17:43 ID:8s9PZXQ2(14/20)
>>641
つづき
https://en.wikipedia.org/wiki/Multiplier_ideal
Multiplier ideal
In commutative algebra, the multiplier ideal associated to a sheaf of ideals over a complex variety and a real number c consists (locally) of the functions h such that
略
is locally integrable, where the fi are a finite set of local generators of the ideal. Multiplier ideals were independently introduced by Nadel (1989) (who worked with sheaves over complex manifolds rather than ideals) and Lipman (1993), who called them adjoint ideals.
Multiplier ideals are discussed in the survey articles Blickle & Lazarsfeld (2004), Siu (2005), and Lazarsfeld (2009).
Algebraic geometry
In algebraic geometry, the multiplier ideal of an effective Q -divisor measures singularities coming from the fractional parts of D. Multiplier ideals are often applied in tandem with vanishing theorems such as the Kodaira vanishing theorem and the Kawamata?Viehweg vanishing theorem.
It was introduced by Shoshichi Kobayashi in 1967. Kobayashi hyperbolic manifolds are an important class of complex manifolds, defined by the property that the Kobayashi pseudometric is a metric.
https://en.wikipedia.org/wiki/Canonical_singularity
Canonical singularity
https://ja.wikipedia.org/wiki/%E6%A8%99%E6%BA%96%E7%89%B9%E7%95%B0%E7%82%B9
標準特異点
つづく
645: １３２人目の素数さん [sage] 2023/03/21(火)17:46 ID:030eOzSs(11/16)
>>641-644
アホ1
全く理解できないネタで粋がる
正真正銘の●違い
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