The Dimension Conjecture for 2-Nondegenerate Hypersurfaces

2026/07/21 by M. A. Stepanova
#math.CV

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Abstract

The dimension conjecture in CR geometry is proved for 2-nondegenerate real-analytic hypersurfaces with sign-definite Levi form. Namely, it is proved that, in the indicated class of hypersurfaces in ℂ^N, the maximum dimension of finite-dimensional Lie algebras of infinitesimal holomorphic automorphisms is strictly smaller than the corresponding dimension for nondegenerate hyperquadrics in ℂ^N.

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