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Titlebook: L2 Approaches in Several Complex Variables; Towards the Oka–Cart Takeo Ohsawa Book 2018Latest edition Springer Japan KK, part of Springer N

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發(fā)表于 2025-3-21 20:08:10 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱L2 Approaches in Several Complex Variables
副標(biāo)題Towards the Oka–Cart
編輯Takeo Ohsawa
視頻videohttp://file.papertrans.cn/590/589253/589253.mp4
概述Presents quite recent research works, all of very high standard, in the field of several complex variables.Selects only extremely important materials from the conventional basic theory of complex anal
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: L2 Approaches in Several Complex Variables; Towards the Oka–Cart Takeo Ohsawa Book 2018Latest edition Springer Japan KK, part of Springer N
描述This monograph presents the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Special emphasis is put on the new precise results on the .L2. extension of holomorphic functions in the past 5 years..In Chapter 1, the classical questions of several complex variables motivating the development of this field are reviewed after necessary preparations from the basic notions of those variables and of complex manifolds such as holomorphic functions, pseudoconvexity, differential forms, and cohomology. In Chapter 2, the .L2. method of solving the d-bar equation is presented emphasizing its differential geometric aspect. In Chapter 3, a refinement of the Oka–Cartan theory is given by this method. The .L2. extension theorem with an optimal constant is included, obtained recently by Z. B?ocki and separately by Q.-A. Guan and X.-Y. Zhou. In Chapter 4, various results on the Bergman kernel are presented, including recent works of Maitani–Yamaguchi, Berndtsson, Guan–Zhou, and? Berndtsson–Lempert. Most of these results are obtained by the .L2. method. In the last chapter, rat
出版日期Book 2018Latest edition
關(guān)鍵詞Bergman kernel; Levi flat hypersurfaces; L2 extension of holomorphic functions; Multiplier ideals; Vanis
版次2
doihttps://doi.org/10.1007/978-4-431-56852-0
isbn_ebook978-4-431-56852-0Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Japan KK, part of Springer Nature 2018
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 20:22:42 | 只看該作者
Basic Notions and Classical Results,f holomorphic functions, we shall give an overview of the classical theorems in several complex variables, restricting ourselves to extremely important ones for the discussion in later chapters. Most of the materials presented here are contained in well-written textbooks such as Gunning and Rossi (A
板凳
發(fā)表于 2025-3-22 00:30:34 | 只看該作者
Analyzing the ,-Cohomology,re existence theorems for such solutions under curvature conditions. They are variants of Kodaira’s cohomology vanishing theorem on compact K?hler manifolds, and formulated as vanishing theorems with .. conditions. Some of these .. vanishing theorems are generalized to finite-dimensionality theorems
地板
發(fā)表于 2025-3-22 08:36:17 | 只看該作者
, Oka–Cartan Theory,erators of the ideals, the application of extension theorems and division theorems is indispensable. From the viewpoint of the .-equations, these questions amount to solving those of very special type. Making use of the specific forms of these .-equations, they are solved with precise .. norm estima
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Approaches to Holomorphic Foliations, Nonexistence theorems are discussed for holomorphic foliations of codimension one on compact K?hler manifolds under some assumptions on geometric properties of the complement of stable sets. For the special cases such as ., complex tori and Hopf surfaces, nonexistence, reduction and classification
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發(fā)表于 2025-3-22 19:56:11 | 只看該作者
Takeo OhsawaPresents quite recent research works, all of very high standard, in the field of several complex variables.Selects only extremely important materials from the conventional basic theory of complex anal
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Springer Japan KK, part of Springer Nature 2018
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