On Lelong numbers of generalized Monge-Ampère products

DOI10.1007/s00209-023-03284-9arXiv2203.13499OpenAlexW4382404820MaRDI QIDQ6115060

Martin Sera

Publication date: 12 July 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.13499

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) Lelong numbers (32U25) Currents (32U40)

Cites Work

• Green functions, Segre numbers, and King's formula
• A new capacity for plurisubharmonic functions
• Bergman kernels and the pseudoeffectivity of relative canonical bundles
• On deformations of Kähler spaces. II
• The Dirichlet problem for a complex Monge-Ampère equation
• Closedness of the Douady spaces of compact Kähler spaces
• Chern forms of singular metrics on vector bundles
• Strongly pseudo-effective and numerically flat reflexive sheaves
• Segre numbers, a generalized King formula, and local intersections
• Residues of holomorphic sections and Lelong currents
• Stetige streng pseudokonvexe Funktionen
• Intégration sur un ensemble analytique complexe
• Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• 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
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