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Diederich-Fornaess theorem
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(Theorem)
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In particular, all compact real analytic subvarieties (or submanifolds) are D'Angelo finite type at every point.
- 1
- M. Salah Baouendi, Peter Ebenfelt, Linda Preiss Rothschild. Real Submanifolds in Complex Space and Their Mappings, Princeton University Press, Princeton, New Jersey, 1999.
- 2
- D'Angelo, John P. Several complex variables and the geometry of real hypersurfaces, CRC Press, 1993.
- 3
- Klas Diederich, John E. Fornaess. Pseudoconvex domains with real-analytic boundary. Ann. Math. (2) 107 (1978), no. 2, 371-384.
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"Diederich-Fornaess theorem" is owned by jirka.
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(view preamble)
Cross-references: point, finite type, submanifolds, complex analytic subvariety, germ, contains, real analytic subvariety, compact
There is 1 reference to this entry.
This is version 1 of Diederich-Fornaess theorem, born on 2007-12-05.
Object id is 10103, canonical name is DiederichFornaessTheorem.
Accessed 193 times total.
Classification:
| AMS MSC: | 32V40 (Several complex variables and analytic spaces :: CR manifolds :: Real submanifolds in complex manifolds) | | | 32C07 (Several complex variables and analytic spaces :: Analytic spaces :: Real-analytic sets, complex Nash functions) |
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Pending Errata and Addenda
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