activity
20032022
most citedKoppelman formulas and the $\dbar$-equation on an analytic space

8 citations · 36 across the 32 of their papers we have counts for

collaborators

43 papers

math.CV2022

Norm estimates for the -equation on a non-reduced space

Mats Andersson, Richard Lärkäng

We study norm-estimates for the -equation on non-reduced analytic spaces. Our main result is that on a non-reduced analytic space, which is Cohen-Macaulay and whose u…

math.CV2021★ 1 cited

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…

math.CV2021

Non-pluripolar energy and the complex Monge-Ampère operator

Mats Andersson, David Witt Nyström, Elizabeth Wulcan

Given a domain we introduce a class of plurisubharmonic (psh) functions and Monge-Ampère operators , , on $\mat…

math.CV2020

-estimates of extensions of holomorphic functions defined on a non-reduced subvariety

Mats Andersson

Let be a strictly pseudoconvex domain in $\C^N$ and a pure-dimensional non-reduced subvariety that behaves well at . We provide -estimates of extensions of…

math.CV2020

On non-proper intersections and local intersection numbers

Mats Andersson, Håkan Samuelsson Kalm, Elizabeth Wulcan

Given pure-dimensional (generalized) cycles and on a complex manifold we introduce a product that is a generalized cycle whose multiplicities…

math.CV2020

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.