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Grauert's line bundle convexity, reduction and Riemann domains

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العنوان: Grauert's line bundle convexity, reduction and Riemann domains
المؤلفون: Vâjâitu, Viorel
بيانات النشر: Institute of Mathematics, Academy of Sciences of the Czech Republic
Matematický ústav AV ČR
سنة النشر: 2016
المجموعة: DML-CZ (Czech Digital Mathematics Library)
مصطلحات موضوعية: keyword:Grauert's line bundle convexity, keyword:Riemann domain, keyword:holomorphic reduction, msc:32E05, msc:32E99, msc:32F17
الوصف: summary:We consider a convexity notion for complex spaces $X$ with respect to a holomorphic line bundle $L$ over $X$. This definition has been introduced by Grauert and, when $L$ is analytically trivial, we recover the standard holomorphic convexity. In this circle of ideas, we prove the counterpart of the classical Remmert's reduction result for holomorphically convex spaces. In the same vein, we show that if $H^0(X,L)$ separates each point of $X$, then $X$ can be realized as a Riemann domain over the complex projective space $\Bbb {P}^n$, where $n$ is the complex dimension of $X$ and $L$ is the pull-back of ${\mathcal O}(1)$.
نوع الوثيقة: text
وصف الملف: application/pdf
اللغة: English
تدمد: 0011-4642
1572-9141
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الاتاحة: http://hdl.handle.net/10338.dmlcz/145739
Rights: access:Unrestricted ; rights:DML-CZ Czech Digital Mathematics Library, http://dml.cz/ ; rights:Institute of Mathematics AS CR, http://www.math.cas.cz/ ; conditionOfUse:http://dml.cz/use
رقم الانضمام: edsbas.B7F3E700
قاعدة البيانات: BASE
الوصف
تدمد:00114642
15729141