Diederich-Fornaess theorem

Theorem (Diederich-Fornaes).

Let XCn be a compact real analytic subvariety. Then X contains no germ of a nontrivial complex analytic subvariety.

In particular, all compact real analytic subvarieties (or submanifoldsMathworldPlanetmath) are D’Angelo finite type at every point.


  • 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