Analytic continuation of residue currents

Abstract

Let $X$ be a complex manifold and $f\colon X\to \C^p$ a holomorphic mapping defining a complete intersection. We prove that the iterated Mellin transform of the residue integral associated to $f$ has an analytic continuation to a neighborhood of the origin in $\C^p$.

Cited by in corpus (9)

• Various approaches to products of residue currents
• Extension with log-canonical measures and an improvement to the plt extension of Demailly--Hacon--Paun
• Residue currents associated with weakly holomorphic functions
• On an $L^2$ extension theorem from log-canonical centres with log-canonical measures
• A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas
• Residues and currents from singular forms on complex manifolds
• Extension from lc centres and the extension theorem of Demailly but with estimates
• About a non-standard interpolation problem
• One parameter regularizations of products of residue currents