Poincaré-Lelong type formulas and Segre numbers

Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Global theory of complex singularities; cohomological properties (32S20) Local complex singularities (32S05) Integration on analytic sets and spaces, currents (32C30)

Cites Work

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Singular Hermitian metrics on holomorphic vector bundles
Bergman kernels and the pseudoeffectivity of relative canonical bundles
Mixed multiplicities and the minimal number of generator of modules
A geometric theory of the Buchsbaum-Rim multiplicity
Multiplicities of a bigraded ring and intersection theory
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Approximations and examples of singular Hermitian metrics on vector bundles
Chern forms of singular metrics on vector bundles
Residue currents and ideals of holomorphic functions
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Global representation of Segre numbers by Monge-Ampère products
Non-pluripolar energy and the complex Monge-Ampère operator
Lelong-Poincaré formula in symplectic and almost complex geometry
Curvature currents and Chern forms of singular Hermitian metrics on holomorphic vector bundles
Segre numbers, a generalized King formula, and local intersections
Residues of holomorphic sections and Lelong currents
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
A generalized Poincaré-Lelong formula
Singular hermitian metrics on vector bundles
Heights of Projective Varieties and Positive Green Forms
Segre Numbers and Hypersurface Singularities
Geometric Residue Theorems
Intersection theory in complex analytic geometry
Mixed Buchsbaum-Rim Multiplicities
On the complex Monge–Ampère operator for quasi‐plurisubharmonic functions with analytic singularities
On a Monge-Ampere operator for plurisubharmonic functions with analytic singularities
Chern forms of Hermitian metrics with analytic singularities on vector bundles
On a mixed Monge–Ampère operator for quasiplurisubharmonic functions with analytic singularities
A Generalized Koszul Complex. II. Depth and Multiplicity
Intersection numbers, Segre numbers and generalized Samuel multiplicities
A pullback operation on a class of currents

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