[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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660(2): １３２人目の素数さん [] 2023/03/21(火)22:55 ID:FNe6xnfw(5/5)
田中昇とElie Cartanを知らない人のために
https://www.ams.org/notices/201101/rtx110100020p.pdf
665(2): １３２人目の素数さん [] 2023/03/22(水)16:07 ID:VqclUbtx(1/6)
>>660
>田中昇とElie Cartanを知らない人のために
ありがとう
他意はないが、抜粋貼る
（こうしておけば、一般検索から、ここに到達する人がいるので）
https://www.ams.org/notices/201101/rtx110100020p.pdf
Notices of the AMS Volume 58, Number 1 January 2011
From Cartan to Tanaka:Getting Real in the Complex World
Vladimir Ezhov, Ben McLaughlin, and Gerd Schmalz
It is well known from undergraduate complex analysis that holomorphic functions of one complex variable are fully determined by their values at the boundary of a complex domain via the Cauchy integral formula. This is the first instance in which students encounter the general principle of complex analysis in one and several variables that the study of holomorphic objects often reduces to the study of their boundary values. The boundaries of complex domains, having odd topological dimension, cannot be complex objects. This motivated the study of the geometry of real hypersurfaces in complex space. In particular, since all established facts about a particular hypersurface carry over to its image via a biholomorphic mapping in the ambient space, it is important to decide which hypersurfaces are equivalent with respect to such mappings - that is, to solve an equivalence problem for real hypersurfaces in a complex space.
つづく
666(1): １３２人目の素数さん [] 2023/03/22(水)16:08 ID:VqclUbtx(2/6)
>>665
>>660
>田中昇とElie Cartanを知らない人のために
ありがとう
他意はないが、抜粋貼る
（こうしておけば、一般検索から、ここに到達する人がいるので）
https://www.ams.org/notices/201101/rtx110100020p.pdf
Notices of the AMS Volume 58, Number 1 January 2011
From Cartan to Tanaka:Getting Real in the Complex World
Vladimir Ezhov, Ben McLaughlin, and Gerd Schmalz
It is well known from undergraduate complex analysis that holomorphic functions of one complex variable are fully determined by their values at the boundary of a complex domain via the Cauchy integral formula. This is the first instance in which students encounter the general principle of complex analysis in one and several variables that the study of holomorphic objects often reduces to the study of their boundary values. The boundaries of complex domains, having odd topological dimension, cannot be complex objects. This motivated the study of the geometry of real hypersurfaces in complex space. In particular, since all established facts about a particular hypersurface carry over to its image via a biholomorphic mapping in the ambient space, it is important to decide which hypersurfaces are equivalent with respect to such mappings - that is, to solve an equivalence problem for real hypersurfaces in a complex space.
つづく
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