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arXiv · 1712.00295

Chern-Moser operators and weighted jet determination problems in higher codimension

Léa Blanc-Centi·Francine Meylan
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Abstract

Counterexamples to the 2-jet determination Chern-Moser Theorem in codimension d>2 have recently been constructed. 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 2-jet determination Chern-Moser Theorem holds in codimension 2.

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Léa Blanc-Centi, Francine Meylan. 2022-01-14. Chern-Moser operators and weighted jet determination problems in higher codimension. https://arxiv.org/abs/1712.00295

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