Residue currents

DOI10.1023/B:JOTH.0000020710.57247.b7zbMath1070.32003OpenAlexW4243043872MaRDI QIDQ1776315

August Tsikh, Alain Yger

Publication date: 23 May 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:joth.0000020710.57247.b7

zbMATH Keywords

residue integralapplications to the effective NullstellensatzColeff-Herrera residue currentcomplete intersection casedivision formulasholomorphic differential forms on analytic varietiesholomorphic forms as residues of logarithmic formsholomorphy on analytic varietyMellin transform of a residue functionprincipal value of the residue currentresidue currents of Bochner-Martinelli typeuniversal denominator and discriminant

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Residues for several complex variables (32A27)

Related Items (13)

The membership problem for polynomial ideals in terms of residue currents ⋮ Residue calculus for c-holomorphic functions ⋮ Averaging of the Cauchy kernels and integral realization of the local residue ⋮ Variétés Singulières et Extension des Fonctions Holomorphes ⋮ A List of Integral Representations for the Diagonal of Power Series of a Rational Function ⋮ Explicit versions of the Briançon-Skoda theorem with variations ⋮ The Hartogs extension phenomenon in toric varieties ⋮ Explicit representation of membership in polynomial ideals ⋮ About a non-standard interpolation problem ⋮ Fixed points of \((0, 2)\) Landau-Ginzburg renormalization group flows and the chiral algebra ⋮ On the structure of the Bochner-Martinelli residue currents ⋮ Residue currents associated with weakly holomorphic functions ⋮ Bounds for multivariate residues and for the polynomials in the elimination theorem

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