273 citations · 483 across the 19 of their papers we have counts for
20 papers
Effective Kohn Algorithm for Special Domain Defined by Functions Depending on All Variables
Yum-Tong Siu
Kohn introduced in 1979 the algorithm of multipliers to study the subelliptc estimate of the -Neumann problem for a smooth weakly pseudoconvex domain in a complex Euc…
The Role of the Gradient Term of the Bochner-Kodaira Formula in Coherent Sheaf Extension
Yum-Tong Siu
In applying the Bochner-Kodaira formula with boundary term to solve the equation with estimates, the gradient term is usually not used. Two potentially importa…
New Procedure to Generate Multipliers in Complex Neumann Problem and Effective Kohn Algorithm
Yum-Tong Siu
The purpose of this note is threefold. (i) To explain the effective Kohn algorithm for multipliers in the complex Neumann problem and its difference with the full-real-radical Kohn…
Skoda's Ideal Generation from Vanishing Theorem for Semipositive Nakano Curvature and Cauchy-Schwarz Inequality for Tensors
Yum-Tong Siu
Skoda's 1972 result on ideal generation is a crucial ingredient in the analytic approach to the finite generation of the canonical ring and the abundance conjecture. Special analyt…
Splitting of unstable 2-bundles over the complex projective 6-space
Yum-Tong Siu
We prove that any unstable holomorphic 2-bundle over the complex projective space of complex dimension n at least 6 must split into a direct sum of two holomorphic line bundles. Th…
Hyperbolicity of Generic High-Degree Hypersurfaces in Complex Projective Space
Yum-Tong Siu
We use two ingredients to prove the hyperbolicity of generic hypersurfaces of sufficiently high degree and of their complements in the complex projective space. One is the pullback…