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- W2775792435 abstract "Let $X$ be a compact connected strongly pseudoconvex $CR$ manifold of real dimension $2n-1$ in $mathbb{C}^{N}$. For $nge 3$, Yau solved the complex Plateau problem of hypersurface type by checking a bunch of Kohn-Rossi cohomology groups in 1981. In this paper, we generalize Yau's conjecture on some numerical invariant of every isolated surface singularity defined by Yau and the author to any dimension and prove that the conjecture is true for local complete intersection singularities of dimension $nge 3$. As a direct application, we solved complex Plateau problem of hypersurface type for any dimension $nge 3$ by checking only one numerical invariant." @default.
- W2775792435 created "2017-12-22" @default.
- W2775792435 creator A5040288295 @default.
- W2775792435 date "2017-12-07" @default.
- W2775792435 modified "2023-09-26" @default.
- W2775792435 title "Smooth solution to higher dimensional complex Plateau problem" @default.
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- W2775792435 doi "https://doi.org/10.48550/arxiv.1712.03820" @default.
- W2775792435 hasPublicationYear "2017" @default.
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