Flattening a non-degenerate CR singular point of real codimension two
نویسندگان
چکیده
منابع مشابه
A Codimension Two CR Singular Submanifold That Is Formally Equivalent to a Symmetric Quadric
Let M ⊂ Cn+1 (n ≥ 2) be a real analytic submanifold defined by an equation of the form: w = |z|2 + O(|z|3), where we use (z,w) ∈ C × C for the coordinates of Cn+1. We first derive a pseudo-normal form for M near 0. We then use it to prove that (M, 0) is holomorphically equivalent to the quadric (M∞ : w = |z|2, 0) if and only if it can be formally transformed to (M∞, 0). We also use it to give a...
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2018
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-018-0431-5