Browsing by Author Si Duc Quang

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  • TCTL.0000102_Differentiably nondegenerate Meromorphic mappings on K{a}hler manifolds weakly sharing hyperplanes.pdf.jpg
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  • Authors: Si Duc Quang (2024)

  • In this paper, we study the uniqueness problem for differentiably nondegenerate meromorphic mappings from a K\"{a}hler manifold into $\P^n(\C)$ satisfying a condition $(C_\rho)$ and sharing hyperplanes in general position, where the condition that two meromorphic mappings $f,g$ have the same inverse image for some hyperplanes $H$ is replaced by a weaker one that $f^{-1}(H)\subset g^{-1}(H)$. An improvement on the algebraic dependence problem of differentiably nondegenerate meromorphic mappings also is given. Moreover, in this case, the condition $f^{-1}(H)\subset g^{-1}(H)$ is even omitted for some hyperplanes.

  • TCTL.0000089.pdf.jpg
  • Bài báo/Newspaper


  • Authors: Si Duc Quang (2023)

  • Let F be an algebraically closed field of characteristic p ≥ 0, which is complete with respect to a non-Archimedean absolute value. Let V be a projective subvariety of P M(F). In this paper, we will prove some second main theorems for non-Archimedean meromorphic maps of Fm into V intersecting a family of hypersurfaces in N−subgeneral position with truncated counting functions.