多変数解析函数論3

[過去ﾛｸﾞ] 多変数解析函数論3 (1002ﾚｽ)
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143: １３２人目の素数さん [] 2024/01/06(土) 17:24:43.66 ID:KS1mMroE

メモ
weakly 1-complete manifolds
で検索結果

https://en.wikipedia.org/wiki/Nakano_vanishing_theorem
Nakano vanishing theorem
In mathematics, specifically in the study of vector bundles over complex Kähler manifolds, the Nakano vanishing theorem, sometimes called the Akizuki–Nakano vanishing theorem, generalizes the Kodaira vanishing theorem.[1][2][3]
略
See also
Le Potier's vanishing theorem

References
Original publications
Akizuki, Yasuo; Nakano, Shigeo (1954). "Note on Kodaira-Spencer's proof of Lefschetz theorems". Proceedings of the Japan Academy. 30 (4): 266–272. doi:10.3792/pja/1195526105. ISSN 0021-4280.
Nakano, Shigeo (1973). "Vanishing theorems for weakly 1-complete manifolds". Number theory, algebraic geometry and commutative algebra — in honor of Yasuo Akizuki. Kinokuniya. pp. 169–179.
Nakano, Shigeo (1974). "Vanishing Theorems for Weakly 1-Complete Manifolds II". Publications of the Research Institute for Mathematical Sciences. 10 (1): 101–110. doi:10.2977/prims/1195192175.
https://www.jstage.jst.go.jp/article/kyotoms1969/10/1/10_1_101/_pdf/-char/ja

Secondary sources
2. Raufi, Hossein (2012-12-18). "The Nakano vanishing theorem and a vanishing theorem of Demailly-Nadel type for holomorphic vector bundles". arXiv:1212.4417 [math.CV].
3 Kobayashi, Shoshichi (2014-07-14). Differential Geometry of Complex Vector Bundles. Princeton University Press. p. 68. ISBN 9781400858682.

http://rio2016.5ch.net/test/read.cgi/math/1701572410/143

566: １３２人目の素数さん [sage] 2024/04/22(月) 04:28:11.66 ID:5+NgOgeR

Looking carefully, I wrote the response >>564 without a confirnation.
Because the response >>564 is be verbs were getting out, making mistakes etc.
For example, it can be corrected following a sentence.

Several complex variables and comlex geometries are differential fields.
Because comlex geometries are distinguished several fields by methods of studies.
For example,  a complex geometry which is studied algebratically without schemes,
is called complex algebraic geometry.
A complex geometry which is a field using a method for the sake of studies
the differential geometry, is called complex differential geometry.
And a complex geometry which is a field using methods for the sake of studies
complex analysis, mainly several complex analysis,
is called complex analytic geometry.
Recently, complex geometries are used other methods for the sake of studies.
For example, it is used the representation theory of Lie groups and Lie algebras,
and also used the harmonic analysis etc.

http://rio2016.5ch.net/test/read.cgi/math/1701572410/566

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