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Noncritical holomorphic functions on Stein spaces [PDF]
Journal of the European Mathematical Society, 2015 We prove that every reduced Stein space admits a holomorphic function without critical points. Furthermore, any closed discrete subset of such a space is the critical locus of a holomorphic function.
Forstneric, Franc
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Trace Maps on Rigid Stein Spaces [PDF]
manuscripta mathematica, 2023 AbstractWe provide a relative version of the trace map from the work of Beyer, which can be associated to any finite étale morphism $$ X \rightarrow Y$$ X → Y of smooth rigid Stein spaces and which then relates the Serre duality on X with ...
Milan Malčić
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HOLOMORPHIC EMBEDDINGS OF STEIN SPACES IN INFINITE-DIMENSIONAL PROJECTIVE SPACES [PDF]
Journal of the Korean Mathematical Society, 2005 The author shows that if \(X\) is a reduced Stein space and \(L\) is a holomorphic line bundle on \(X\), if one considers any locally convex vector topology on \( H^{0}(X, L) ^{\ast}\) which is stronger than the weak topology, then the image of the canonical holomorphic embedding \( h_{L} : X \rightarrow H^{0}(X, L) ^{\ast}\) is sequentially closed and
Edoardo Ballico
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manuscripta mathematica, 2004 plain TeX, 8 ...
Dmitri Akhiezer, Peter Heinzner
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On the $v$-Picard group of Stein spaces [PDF]
International Mathematics Research Notices, 2023 Abstract We study the image of the Hodge–Tate logarithm map (in any cohomological degree), defined by Heuer, in the case of smooth Stein varieties. Heuer, motivated by the computations for the affine space of any dimension, raised the question whether this image is always equal to the group of closed differential forms.
Veronika Ertl +2 more
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Invariant meromorphic functions on Stein spaces [PDF]
Annales de l'Institut Fourier, 2010 In this paper we develop fundamental tools and methods to study meromorphic functions in an equivariant setup. As our main result we construct quotients of Rosenlicht-type for Stein spaces acted upon holomorphically by complex-reductive Lie groups and ...
Greb, Daniel, Miebach, Christian
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Entire solutions for some critical equations in the Heisenberg group [PDF]
Opuscula Mathematica, 2022 We complete the study started in the paper [P. Pucci, L.Temperini, On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces, Math. Eng. 5 (2023), Paper no.
Patrizia Pucci, Letizia Temperini
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Stein-Weiss inequality for local mixed radial-angular Morrey spaces
Open Mathematics, 2022 In this article, a generalization of the well-known Stein-Weiss inequality for the fractional integral operator on functions with different integrability properties in the radial and the angular direction in local Morrey spaces is established.
Wei Mingquan, Su Fangming, Sun Lanyin
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Gradient-Free Kernel Conditional Stein Discrepancy goodness of fit testing
Machine Learning with Applications, 2023 In this study, we propose a gradient-free statistical goodness-of-fit test for determining if a joint sample (xi,yi)is drawn from p(y|x)πxfor some density πxgiven a conditional distribution.
Elham Afzali, Saman Muthukumarana
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