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arXiv · 2607.19186

The Dimension Conjecture for 2-Nondegenerate Hypersurfaces

M. A. Stepanova
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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 $\mathbb{C}^{N}$, the maximum dimension of finite-dimensional Lie algebras of infinitesimal holomorphic automorphisms is strictly smaller than the corresponding dimension for nondegenerate hyperquadrics in $\mathbb{C}^{N}$.

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M. A. Stepanova. 2026-07-21. The Dimension Conjecture for 2-Nondegenerate Hypersurfaces. https://arxiv.org/abs/2607.19186

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