The work Mémoire sur une propriété générale d'une classe très étendue de fonctions
trancendantes by Niels Henrik Abel started a new era where geometry, algebra and …

Given a coherent ideal sheaf J we construct locally a vector-valued residue current R whose
annihilator is precisely the given sheaf. In case J is a complete intersection, R is just the …

We define a residue current of a holomorphic map**, or more generally of a holomorphic
section of a holomorphic vector bundle, by means of Cauchy–Fantappie–Leray type …

Wind instruments provide interesting hydrodynamical systems where nonlinearities are
important but well localized. A simple analysis shows that these systems should undergo …

Given a submodule and a free resolution of J one can define a certain vector-valued residue
current whose annihilator is J. We make a decomposition of the current with respect to Ass J …

Let I be a coherent subsheaf of a locally free sheaf O (E0) and suppose that F= O (E0)/I has
pure codimension. Starting with a residue current R obtained from a locally free resolution of …

Nous prouvons un résultat d'unicité pour les courants de Coleff-Herrera qui dit en particulier
que si f=(f 1,⋯, fn) définit une intersection complète, alors le produit de Coleff-Herrera …

We compare various notions of meromorphic and holomorphic differential forms on
(singular) analytic varieties. In particular we find that every meromorphic form gives rise to a …

Mathematische Annalen Page 1 DOI: 10.1007/s00208-003-0382-4 Math. Ann. 326, 1–18 (2003)
Mathematische Annalen Integral representation with weights I Mats Andersson Received …

Let f be ar× m-matrix of holomorphic functions that is generically surjective. We provide
explicit integral representation of holomorphic ψ such that ϕ= f ψ, provided that ϕ is …