The jet transcendence degree of a real hypersurface and Huang-Ji-Yau Conjecture

2024/01/03 by Gregorovic, Jan, Kossovskiy, Ilya · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.01555

Abstract

We investigate the problem of holomorphic algebraizibility for real hypersurfaces in complex space. We introduce a new invariant of a (real-analytic) Levi-nondegenerate hypersurface called \em the jet transcendence degree. Using this invariant, we solve in the negative the Conjecture of Huang, Ji and Yau on the algabraizability of real hypersurfaces with algebraic syzygies.

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