1 citations · 1 across the 6 of their papers we have counts for
8 papers
Polynomial convexity of -flat perturbations of totally real sets
Leandro Arosio, Håkan Samuelsson Kalm, Erlend F. Wold
We show that if is a totally real -dimensional manifold attached to a polynomially convex compact set in , , then there are arbitrarily small perturba…
The polynomially convex embedding dimension of real manifolds of dimension
Leandro Arosio, Håkan Samuelsson Kalm, Erlend F. Wold
We show that any compact smooth real -dimensional manifold with can be smoothly embedded into as a polynomially convex set. In general, there i…
A note on smooth forms on analytic spaces
Mats Andersson, Håkan Samuelsson Kalm
We prove that any smooth mapping between reduced analytic spaces induces a natural pullback operation on smooth differential forms.
The -equation for -forms on a non-reduced analytic space
Mats Andersson, Richard Lärkäng, Mattias Lennartsson +1
On any pure -dimensional, possibly non-reduced, analytic space we introduce the sheaves of smooth -forms and certain extensions $\mathscr{A}_X^{…
A smoothness criterion for complex spaces in terms of differential forms
Håkan Samuelsson Kalm, Martin Sera
For a reduced pure dimensional complex space , we show that if Barlet's recently introduced sheaf of holomorphic -forms or the sheaf of germs of weakly holomorphic $1…
Integral representation of moderate cohomology
Håkan Samuelsson Kalm
We make the classical Dickenstein-Sessa canonical representation in local moderate cohomology explicit by an integral formula. We also provide a similar representation of the highe…
One parameter regularizations of products of residue currents
Mats Andersson, Håkan Samuelsson Kalm, Elizabeth Wulcan +1
We show that Coleff-Herrera type products of residue currents can be defined by analytic continuation of natural functions depending on one complex variable.
Adjunction for the Grauert-Riemenschneider canonical sheaf and extension of L2-cohomology classes
Jean Ruppenthal, Håkan Samuelsson Kalm, Elizabeth Wulcan
In the present paper, we derive an adjunction formula for the Grauert-Riemenschneider canonical sheaf of a singular hypersurface V in a complex manifold M. This adjunction formula…