Let M be a smooth pseudoconvex hypersurface in ℂ^(n+1) whose Levi form has at most one degenerate eigenvalue. For any tangent vector field L of type (1, 0), we prove the equality of the commutator type and the Levi fo...Let M be a smooth pseudoconvex hypersurface in ℂ^(n+1) whose Levi form has at most one degenerate eigenvalue. For any tangent vector field L of type (1, 0), we prove the equality of the commutator type and the Levi form type associated to L. We also show that the regular contact type, the commutator type and the Levi form type of the real hypersurface are the same.展开更多
The paper is devoted to the study of rational proper holomorphic maps from the unit ball B^n to the unit ball B^N. We classify these maps with both the geometric rank and the degeneracy rank less than or equal to two.
基金The third author was supported in part by NSFC(12171372).
文摘Let M be a smooth pseudoconvex hypersurface in ℂ^(n+1) whose Levi form has at most one degenerate eigenvalue. For any tangent vector field L of type (1, 0), we prove the equality of the commutator type and the Levi form type associated to L. We also show that the regular contact type, the commutator type and the Levi form type of the real hypersurface are the same.
基金supported by National Natural Science Foundation of China(Grant Nos.11301215,11571260 and 11722110)
文摘The paper is devoted to the study of rational proper holomorphic maps from the unit ball B^n to the unit ball B^N. We classify these maps with both the geometric rank and the degeneracy rank less than or equal to two.