Analytic normal form for CR singular surfaces in C3 (2004)
by
Adam Coffman
| Venue: | Houston Journal of Mathematics |
| Citations: | 6 - 6 self |
BibTeX
@MISC{Coffman04analyticnormal,
author = {Adam Coffman},
title = {Analytic normal form for CR singular surfaces in C3},
year = {2004}
}
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Abstract
A real analytic surface inside complex 3-space with an isolated, non-degenerate complex tangent is shown to be holomorphically equivalent to a fixed real algebraic variety. The analyticity of the normalizing transformation is proved using a rapid convergence argument. Real surfaces in higher dimensions are also shown to have an algebraic normal form.
Citations
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| 14 | The general type of singularity of a set of 2n − 1 smooth functions of n variables - Whitney - 1943 |
| 8 | Enumeration and Normal Forms of Singularities in CauchyRiemann Structures, dissertation - Coffman - 1997 |
| 6 | congruence of complex matrix pencils and complex projections of real Veronese varieties - Coffman - 2003 |
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| 4 | Formal stability of the CR cross-cap - Coffman - 1999 |
| 3 | Local geometric properties of real submanifolds - Rothschild |
| 3 | Analytic surfaces in C and their local hull of holomorphy - Moser - 1985 |
| 2 | Ahlfors Complex Analysis, third ed - V - 1979 |
