Division des distributions et applications à l'étude d'idéaux de fonctions holomorphes. (Division distributions and applications to the study of ideals of holomorphic functions).

DOI10.1016/j.crma.2003.11.001zbMath1040.32007OpenAlexW2027054271MaRDI QIDQ1426535

Emmanuel Mazzilli

Publication date: 15 March 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.11.001

zbMATH Keywords

holomorphic functionresidue current

Mathematics Subject Classification ID

Integration on analytic sets and spaces, currents (32C30) Residues for several complex variables (32A27)

Related Items (5)

Integral representation with weights. II: Division and interpolation ⋮ Elementary construction of residue currents associated to Cohen–Macaulay ideals ⋮ Division of holomorphic functions and growth conditions ⋮ Extension of holomorphic functions defined on singular complex hypersurfaces with growth estimates in strictly pseudoconvex domains of $\mathbb{C}^n$ ⋮ Currents of residual type associated with a complete intersection

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Henkin-Ramirez kernels with weight factors
• Les courants residuels associes à une forme méromorphe
• Abelian differentials on singular varieties and variations on a theorem of Lie-Griffiths
• Extension and division in varieties with normal crossings
• On the division of distributions by polynomials
• Residues and principal values on complex spaces
• Residues, currents, and their relation to ideals of holomorphic functions.
• Embedding Strictly Pseudoconvex Domains in Convex Domains
• On asymptotic approximations of the residual currents

This page was built for publication: Division des distributions et applications à l'étude d'idéaux de fonctions holomorphes. (Division distributions and applications to the study of ideals of holomorphic functions).