GOLF 发表于 2025-3-21 19:31:45

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染色体 发表于 2025-3-21 23:05:19

Domains of Holomorphy,omain analytically extend over . (no Hartogs’ phenomenon happens at any boundary point). We first discuss the logarithmic convexity of Reinhardt domains, where every holomorphic function is expanded to a convergent power series. We prove that a domain is holomorphically convex if and only if it is a

讲个故事逗他 发表于 2025-3-22 01:13:21

Analytic Sets and Complex Spaces,nce Theorem”, claiming the coherence of a geometric ideal sheaf (the ideal sheaf of an analytic set). By making use of it, the subset of singular points of an analytic set is proved to be an analytic subset of lower dimension. In the latter half, the notion of a complex space is introduced. Oka’s no

GULP 发表于 2025-3-22 06:29:45

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精致 发表于 2025-3-22 12:36:38

,Cohomology of Coherent Sheaves and Kodaira’s Embedding Theorem, topology in the space of sections of a coherent sheaf. As a consequence we will see that all cohomologies of a coherent sheaf over a compact complex space are finite dimensional (Cartan–Serre Theorem). Furthermore, we will extend Grauert’s Theorem . for a general coherent sheaf. Then, as an applica

GULF 发表于 2025-3-22 15:23:00

Correction to: Analytic Function Theory of Several Variables,

EWER 发表于 2025-3-22 18:18:06

Erratum to: Analytic Function Theory of Several Variables,

Blood-Clot 发表于 2025-3-23 00:05:27

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生锈 发表于 2025-3-23 02:13:08

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acolyte 发表于 2025-3-23 09:36:02

Textbook 2016ter learning the elementary materials (sets, general topology, algebra, one complex variable). This includes the essential parts of Grauert–Remmert‘s two volumes, GL227(236) (.Theory of Stein spaces.) and GL265 (.Coherent analytic sheaves.) with a lowering of the level for novice graduate students (
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查看完整版本: Titlebook: Analytic Function Theory of Several Variables; Elements of Oka’s Co Junjiro Noguchi Textbook 2016 Springer Science+Business Media Singapore