Green functions, Segre numbers, and King's formula

DOI10.5802/AIF.2922zbMath1322.32026arXiv1304.7675OpenAlexW2963439264MaRDI QIDQ486853

Mats Andersson, Elizabeth Wulcan

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7675

zbMATH Keywords

Green functionKing's formulaMonge-Ampère productsSegre numbers

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Analytic subsets of affine space (32B15) Lelong numbers (32U25) Currents (32U40) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (8)

Intersection of (1,1)-currents and the domain of definition of the Monge-Ampere operator ⋮ Density and intersection of (1,1)-currents ⋮ On Lelong numbers of generalized Monge-Ampère products ⋮ On a mixed Monge–Ampère operator for quasiplurisubharmonic functions with analytic singularities ⋮ Geometric methods of complex analysis. Abstracts from the workshop held May 16--22, 2021 (hybrid meeting) ⋮ On the complex Monge–Ampère operator for quasi‐plurisubharmonic functions with analytic singularities ⋮ On a Monge-Ampere operator for plurisubharmonic functions with analytic singularities ⋮ Non-pluripolar energy and the complex Monge-Ampère operator

Cites Work

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• A new capacity for plurisubharmonic functions
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• Fine topology, Šilov boundary, and \((dd^ c)^ n\)
• Multiplicities of a bigraded ring and intersection theory
• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• Lê cycles and hypersurface singularities
• A sharp lower bound for the log canonical threshold
• Segre numbers, a generalized King formula, and local intersections
• Residues of holomorphic sections and Lelong currents
• GREEN FUNCTIONS WITH SINGULARITIES ALONG COMPLEX SPACES
• Segre Numbers and Hypersurface Singularities
• Numerical control over complex analytic singularities
• Intersection theory in complex analytic geometry
• Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$
• Intersection numbers, Segre numbers and generalized Samuel multiplicities
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