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Relevant bibliographies by topics / Plurisubharmonic functions. Stein spaces. Complex manifolds

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Academic literature on the topic 'Plurisubharmonic functions. Stein spaces. Complex manifolds'

Author: Grafiati

Published: 4 June 2021

Last updated: 15 February 2022

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Journal articles on the topic "Plurisubharmonic functions. Stein spaces. Complex manifolds"

1

Gilligan, Bruce. "Levi’s Problem for Pseudoconvex Homogeneous Manifolds." Canadian Mathematical Bulletin 60, no. 4 (2017): 736–46. http://dx.doi.org/10.4153/cmb-2017-007-x.

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AbstractSuppose G is a connected complex Lie group and H is a closed complex subgroup. Then there exists a closed complex subgroup J of G containing H such that the fibration π:G/H ⟶ G/J is the holomorphic reduction of G/H; i.e., G/J is holomorphically separable and O(G/H)≅ π*O(G/J). In this paper we prove that if G/H is pseudoconvex, i.e., if G/H admits a continuous plurisubharmonic exhaustion function, then G/J is Stein and J/H has no non-constant holomorphic functions.

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2

Alaoui, Y. "Возрастающее объединение пространств Стейна с сингулярностями". Владикавказский математический журнал, № 1 (18 березня 2021): 5–10. http://dx.doi.org/10.46698/j5441-9333-1674-x.

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We show that if $X$ is a Stein space and, if $\Omega\subset X$ is exhaustable by a sequence $\Omega_{1}\subset\Omega_{2}\subset\ldots\subset\Omega_{n}\subset\dots$ of open Stein subsets of $X$, then $\Omega$ is Stein. This generalizes a well-known result of Behnke and Stein which is obtained for $X=\mathbb{C}^{n}$ and solves the union problem, one of the most classical questions in Complex Analytic Geometry. When $X$ has dimension $2$, we prove that the same result follows if we assume only that $\Omega\subset\subset X$ is a domain of holomorphy in a Stein normal space. It is known, however, t

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3

Kusakabe, Yuta. "Dense holomorphic curves in spaces of holomorphic maps and applications to universal maps." International Journal of Mathematics 28, no. 04 (2017): 1750028. http://dx.doi.org/10.1142/s0129167x17500288.

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We study when there exists a dense holomorphic curve in a space of holomorphic maps from a Stein space. We first show that for any bounded convex domain [Formula: see text] and any connected complex manifold [Formula: see text], the space [Formula: see text] contains a dense holomorphic disc. Our second result states that [Formula: see text] is an Oka manifold if and only if for any Stein space [Formula: see text] there exists a dense entire curve in every path component of [Formula: see text]. In the second half of this paper, we apply the above results to the theory of universal functions. I

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Dissertations / Theses on the topic "Plurisubharmonic functions. Stein spaces. Complex manifolds"

1

Chan, Shu-fai. "Variations and uniform compactificatfons of fibers on Stein spaces." Click to view the E-thesis via HKUTO, 2006. http://sunzi.lib.hku.hk/hkuto/record/B38324301.

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Chan, Shu-fai, and 陳澍輝. "Variations and uniform compactifications of fibers on Stein spaces." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2006. http://hub.hku.hk/bib/B38324301.

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Books on the topic "Plurisubharmonic functions. Stein spaces. Complex manifolds"

1

Ibragimov, Zair. Topics in several complex variables: First USA-Uzbekistan Conference on Analysis and Mathematical Physics, May 20-23, 2014, California State University, Fullerton, California. American Mathematical Society, 2016.

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1938-, Griffiths Phillip, and Kerr Matthew D. 1975-, eds. Hodge theory, complex geometry, and representation theory. Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 2013.

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Wentworth, Richard A., Duong H. Phong, Paul M. N. Feehan, Jian Song, and Ben Weinkove. Analysis, complex geometry, and mathematical physics: In honor of Duong H. Phong : May 7-11, 2013, Columbia University, New York, New York. American Mathematical Society, 2015.

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