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D'Angelo finite type
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(Definition)
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Let
 be a real submanifold, or a real analytic subvariety. Let we say  is of finite type in the sense of D'Angelo if there does not exist any germ of a complex analytic subvariety at  , that is contained in  .
The Diederich-Fornaess theorem can be then restated to say that every compact real analytic subvariety of
 is of 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.
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"D'Angelo finite type" is owned by jirka.
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(view preamble)
Cross-references: point, finite type, compact, Diederich-Fornaess theorem, contained, complex analytic subvariety, germ, real analytic subvariety, real submanifold
This is version 2 of D'Angelo finite type, born on 2007-12-05, modified 2007-12-05.
Object id is 10102, canonical name is DAngeloFiniteType.
Accessed 154 times total.
Classification:
| AMS MSC: | 32V35 (Several complex variables and analytic spaces :: CR manifolds :: Finite type conditions on CR manifolds) |
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Pending Errata and Addenda
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