Diederich-Fornaess theorem
Theorem (Diederich-Fornaes).
Let be a compact real analytic subvariety. Then contains no germ of a nontrivial complex analytic subvariety.
In particular, all compact real analytic subvarieties (or submanifolds
) are D’Angelo finite type at every point.
References
- 1 M. Salah Baouendi, Peter Ebenfelt, Linda Preiss Rothschild. , Princeton University Press, Princeton, New Jersey, 1999.
- 2 D’Angelo, John P. , CRC Press, 1993.
- 3 Klas Diederich, John E. Fornaess. Ann. Math. (2) 107 (1978), no. 2, 371–384.
| Title | Diederich-Fornaess theorem |
|---|---|
| Canonical name | DiederichFornaessTheorem |
| Date of creation | 2013-03-22 17:40:00 |
| Last modified on | 2013-03-22 17:40:00 |
| Owner | jirka (4157) |
| Last modified by | jirka (4157) |
| Numerical id | 4 |
| Author | jirka (4157) |
| Entry type | Theorem |
| Classification | msc 32V40 |
| Classification | msc 32C07 |