Abstract
Counterexamples to the [Formula: see text]-jet determination Chern–Moser Theorem in codimension [Formula: see text] have recently been constructed [16]. We extend the Chern–Moser approach for hypersurfaces to real submanifolds of higher codimension in complex space to derive results on jet determination for their automorphism group. Using these techniques, we show that the [Formula: see text]-jet determination Chern–Moser Theorem holds in codimension 2.
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