23 citations · 38 across the 6 of their papers we have counts for
6 papers
On manifold-like polyfolds as differential geometrical objects with applications in complex geometry
Per Åhag, Rafał Czyż, Håkan Samuelsson Kalm +1
We argue for more widespread use of manifold-like polyfolds (M-polyfolds) as differential geometric objects. M-polyfolds possess a distinct advantage over differentiable manifolds,…
On proper intersections on a singular analytic space
Mats Andersson, Håkan Samuelsson Kalm
Given a reduced analytic space we introduce a class of {\it nice} cycles, including all effective -Cartier divisors. Equidimensional nice cycles that intersect prop…
A pullback operation on a class of currents
Håkan Samuelsson Kalm
For any holomorphic mapping between a complex manifold and a complex Hermitian manifold we extend the pullback from smooth forms to a class of curren…
Presence or absence of analytic structure in maximal ideal spaces
Alexander J. Izzo, Håkan Samuelsson Kalm, Erlend Fornæss Wold
We study extensions of Wermer's maximality theorem to several complex variables. We exhibit various smoothly embedded manifolds in complex Euclidean space whose hulls are non-trivi…
Explicit Serre duality on complex spaces
Jean Ruppenthal, Håkan Samuelsson Kalm, Elizabeth Wulcan
In this paper we use recently developed calculus of residue currents together with integral formulas to give a new explicit analytic realization, as well as a new analytic proof of…
Various approaches to products of residue currents
Richard Lärkäng, Håkan Samuelsson
We describe various approaches to Coleff-Herrera products of residue currents (of Cauchy-Fantappiè-Leray type) associated to holomorphic mappings . More precisely, we st…