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

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

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...

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Hauptverfasser: Gregorovic, Jan, Kossovskiy, Ilya
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Complex Variables
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Zusammenfassung: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.
DOI:10.48550/arxiv.2401.01555