8 citations · 36 across the 32 of their papers we have counts for
4 papers · 2 filters
Weighted Koppelman formulas and the $\dbar$-equation on an analytic space
Mats Andersson, Håkan Samuelsson
Let be an analytic space of pure dimension. We introduce a formalism to generate intrinsic weighted Koppelman formulas on that provide solutions to the $\dbar$-equation. We…
A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas
Mats Andersson, Håkan Samuelsson
Let be a complex space of pure dimension. We introduce fine sheaves $\A^X_q$ of -currents, which coincides with the sheaves of smooth forms on the regular part of , s…
Segre numbers, a generalized King formula, and local intersections
Mats Andersson, Håkan Samuelsson Kalm, Elizabeth Wulcan +1
Let be an ideal sheaf on a reduced analytic space with zero set . We show that the Lelong numbers of the restrictions to of certain generalized Monge-Ampère…
An explicit Koppelman formula for and Green currents on
Mats Andersson
We compute a quite explicit Koppelman formula for on projective space, and obtain Green currents for positive closed currents.