ガロア第一論文と乗数イデアル他関連資料スレ5

[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5 (1002ﾚｽ)
上下前次1-新
通常表示 512ﾊﾞｲﾄ分割ﾚｽ栞
抽出解除ﾚｽ栞

このｽﾚｯﾄﾞは過去ﾛｸﾞ倉庫に格納されています｡
次ｽﾚ検索歴削→次ｽﾚ栞削→次ｽﾚ過去ﾛｸﾞﾒﾆｭｰ

333: １３２人目の素数さん [] 2023/07/04(火) 11:13:59.61 ID:/K4mC13y

>>17
>L^2拡張定理の応用面に重点を置いた講演をした。

独り言ですが
下記が、理解できてないが
なんか面白そうですね
L2 extensionが、L2拡張なのでしょうかね？（＾＾

（参考）
https://en.wikipedia.org/wiki/Ohsawa%E2%80%93Takegoshi_L2_extension_theorem
Ohsawa?Takegoshi L2 extension theorem

In several complex variables, the Ohsawa?Takegoshi L2 extension theorem is a fundamental result concerning the holomorphic extension of an
L^{2}-holomorphic function defined on a bounded Stein manifold (such as a pseudoconvex compact set in
\mathbb {C} ^{n} of dimension less than n) to a domain of higher dimension, with a bound on the growth.
It was discovered by Takeo Ohsawa and Kensho Takegoshi in 1987,[1] using what have been described as ad hoc methods involving twisted Laplace?Beltrami operators, but simpler proofs have since been discovered.[2] Many generalizations and similar results exist, and are known as theorems of Ohsawa?Takegoshi type.

See also
・Suita conjecture
note
１． Ohsawa & Takegoshi (1987)
２．Siu (2011)

http://rio2016.5ch.net/test/read.cgi/math/1687778456/333

820: １３２人目の素数さん [] 2023/10/28(土) 23:30:56.61 ID:5Ldn12NP

>>819
ありがとう

https://dept.math.lsa.umich.edu/~mattiasj/research.html
Mattias Jonsson Department of Mathematics, University of Michigan,
(I am a professor of mathematics at the University of Michigan)
My research spans across some (but not all!) parts of dynamics, geometry and analysis. In analysis and geometry one usually works with real or complex numbers, but it is also possible to use, for instance, p-adic numbers. Doing so leads to non-Archimedean analysis and geometry, in honor (dishonor?) of Archimedes of Syracuse.

One of my main interests is in how non-Archimedean objects, such as Berkovich spaces, can be used to study problems where the original problem is phrased in terms of complex or rational numbers. Examples include singularities (of psh functions) in complex analysis and the growth of the arithmetic complexity (height) of orbits of certain polynomial, discrete-time, dynamical systems. I am also interested in developing non-Archimedean geometry in a way parallel to complex geometry.

Here is a list of my publications and some lecture notes. For my preprints, see the arXiv. See also google scholar.

https://arxiv.org/abs/1011.3699
Mathematics > Algebraic Geometry
[Submitted on 16 Nov 2010 (v1), last revised 20 Oct 2011 (this version, v3)]
Valuations and asymptotic invariants for sequences of ideals
Mattias Jonsson, Mircea Mustata
We study asymptotic jumping numbers for graded sequences of ideals, and show that every such invariant is computed by a suitable real valuation of the function field. We conjecture that every valuation that computes an asymptotic jumping number is necessarily quasi-monomial. This conjecture holds in dimension two. In general, we reduce it to the case of affine space and to graded sequences of valuation ideals. Along the way, we study the structure of a suitable valuation space.
v3: minor changes, this is the final version, to appear in Ann. Inst. Fourier (Grenoble)

http://rio2016.5ch.net/test/read.cgi/math/1687778456/820

上下前次1-新書関写板覧索設栞歴

ｽﾚ情報赤ﾚｽ抽出画像ﾚｽ抽出歴の未読ｽﾚ AAｻﾑﾈｲﾙ

ぬこの手ぬこTOP 0.043s