CR singularities of real fourfolds in $\mathbb{C}^3$

Details CR singularities of real fourfolds in $\mathbb{C}^3$ CR singularities of real fourfolds in $\mathbb{C}^3$

2009-04-17

arxiv.org/abs/0904.2794v1

Mathematics

Complex Variables

Scientific paper

CR singularities of real 4-submanifolds in complex 3-space are classified by
using local holomorphic coordinate changes to transform the quadratic
coefficients of the real analytic defining equation into a normal form. The
quadratic coefficients determine an intersection index, which appears in global
enumerative formulas for CR singularities of compact submanifolds.

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