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Titlebook: Coherent Analytic Sheaves; Hans Grauert,Reinhold Remmert Book 1984 Springer-Verlag Berlin Heidelberg 1984 Koh?rente analytische Garbe.Math

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樓主: GALL
21#
發(fā)表于 2025-3-25 04:07:36 | 只看該作者
22#
發(fā)表于 2025-3-25 08:15:45 | 只看該作者
Court Trial and Its Administrationis theorem “Vorbereitungssatz” (cf. Math. Werke 2, p.135), he writes there in a footnote: “Diesen Satz habe ich seit dem Jahre 1860 wiederholt in meinen Universit?ts-Vorlesungen vorgetragen.” The Preparation Theorem expresses the fundamental fact that the zero set of a holomorphic function g display
23#
發(fā)表于 2025-3-25 12:40:59 | 只看該作者
24#
發(fā)表于 2025-3-25 16:39:55 | 只看該作者
https://doi.org/10.1007/978-981-10-1142-9. in ?.,1 ≤ . < ∞, if . is replaced by a nowhere dense analytic set . in . If . has dimension ≤. ?2 everywhere it is no longer necessary to assume that . is bounded in DA. These two statements are known as the . Extension Theorems; for the convenience of the reader we reproduce proofs in Section 1.
25#
發(fā)表于 2025-3-25 21:14:49 | 只看該作者
Power Resources of Legal Sociology Surveys a one-sheeted analytic covering of .. For this reason we first develop a general theory of such coverings and prove a Local Existence Theorem. This theorem easily implies . theorem that the normalization sheaf . of the structure sheaf . is .-coherent.
26#
發(fā)表于 2025-3-26 04:06:11 | 只看該作者
27#
發(fā)表于 2025-3-26 06:51:06 | 只看該作者
Legal Personnel in Rural SocietyFor example if . is just a single (reduced) point, coherence of the .-th image sheaf .(.) means that .(.).(.) is a finite dimensional complex vector space. There are many examples of non-compact spaces . where this is not the case.
28#
發(fā)表于 2025-3-26 11:05:40 | 只看該作者
29#
發(fā)表于 2025-3-26 13:57:27 | 只看該作者
30#
發(fā)表于 2025-3-26 19:07:04 | 只看該作者
Extension Theorem and Analytic Coverings,. in ?.,1 ≤ . < ∞, if . is replaced by a nowhere dense analytic set . in . If . has dimension ≤. ?2 everywhere it is no longer necessary to assume that . is bounded in DA. These two statements are known as the . Extension Theorems; for the convenience of the reader we reproduce proofs in Section 1.
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