CR Foliations and the Levi Problem in Singular Complex Spaces Article Swipe
Revista, Zen
,
MATH, 10
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.5281/zenodo.17830354
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.5281/zenodo.17830354
This paper investigates the interplay between CR foliations and the Levi problem in the context of singular complex spaces. We extend classical results from complex manifold theory to singular settings, focusing on the existence and properties of CR structures on singular spaces, and their relation to the Levi problem. Specifically, we analyze the Levi problem for CR functions defined on singular spaces admitting a CR foliation. We establish necessary and sufficient conditions for the solvability of the Levi problem, linking it to the geometry of the CR foliation and the nature of singularities. We also explore applications to specific classes of singular spaces, such as those arising from algebraic geometry, providing concrete examples and illustrating the theoretical results.
Related Topics
Concepts
Mathematics
Context (archaeology)
Pure mathematics
Foliation (geology)
Singular solution
Manifold (fluid mechanics)
Algebraic number
Algebraic geometry
Complex manifold
Relation (database)
Algebra over a field
Differential geometry
Mathematical analysis
Singular point of an algebraic variety
Singular point of a curve
Space (punctuation)
Singular value
Complex space
Metadata
- Type
- article
- Landing Page
- https://doi.org/10.5281/zenodo.17830354
- OA Status
- green
- OpenAlex ID
- https://openalex.org/W7109125622
All OpenAlex metadata
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https://openalex.org/W7109125622Canonical identifier for this work in OpenAlex
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https://doi.org/10.5281/zenodo.17830354Digital Object Identifier
- Title
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CR Foliations and the Levi Problem in Singular Complex SpacesWork title
- Type
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articleOpenAlex work type
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2025Year of publication
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2025-12-05Full publication date if available
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Revista, Zen, MATH, 10List of authors in order
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https://doi.org/10.5281/zenodo.17830354Publisher landing page
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://doi.org/10.5281/zenodo.17830354Direct OA link when available
- Concepts
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Mathematics, Context (archaeology), Pure mathematics, Foliation (geology), Singular solution, Manifold (fluid mechanics), Algebraic number, Algebraic geometry, Complex manifold, Relation (database), Algebra over a field, Differential geometry, Mathematical analysis, Singular point of an algebraic variety, Singular point of a curve, Space (punctuation), Singular value, Complex spaceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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