M. Andersson

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

Showing 2020Show all

4 papers · 1 filter

math.CV2020

$L^{p}$ -estimates of extensions of holomorphic functions defined on a non-reduced subvariety

Mats Andersson

Let $D$ be a strictly pseudoconvex domain in $\C^N$ and $X$ a pure-dimensional non-reduced subvariety that behaves well at $\partial D$ . We provide $L^{p}$ -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 $μ_{1}$ and $μ_{2}$ on a complex manifold $Y$ we introduce a product $μ_{1} ⋄_{Y} μ_{2}$ 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.

math.CV2020★ 1 cited

The $\partial ˉ$ -equation for $(p, q)$ -forms on a non-reduced analytic space

Mats Andersson, Richard Lärkäng, Mattias Lennartsson +1

On any pure $n$ -dimensional, possibly non-reduced, analytic space $X$ we introduce the sheaves $E_{X}^{p, q}$ of smooth $(p, q)$ -forms and certain extensions $\mathscr{A}_X^{…

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

On non-proper intersections and local intersection numbers

A note on smooth forms on analytic spaces

The ∂ˉ-equation for (p,q)-forms on a non-reduced analytic space

$L^{p}$ -estimates of extensions of holomorphic functions defined on a non-reduced subvariety

The $\partial ˉ$ -equation for $(p, q)$ -forms on a non-reduced analytic space