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Nondeformability of Moishezon manifolds with nonnegative Kodaira dimension

Mu-Lin Li

Source record

Source: arXiv

Published: Sep 20, 2026

arXiv: 2609.23538

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Source abstract

Let $π:\X\to\D$ be a proper holomorphic submersion with connected fibers, and suppose that XtX_t is biholomorphic to a fixed smooth Moishezon manifold SS for every t0t\ne0. If κ(S)0κ(S)\ge0, we prove that X0SX_0\simeq S.

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Nondeformability of Moishezon manifolds with nonnegative Kodaira dimension — Mathematical Frontier Network