Regularity of pseudomeromorphic currents
Complex Variables
2017-03-10 v2
Abstract
Let be a (reduced) pure-dimensional analytic space. We prove that direct images of principal value and residue currents on are smooth outside sets that are small in a certain sense. We also prove that the sheaf of such currents, provided that is smooth, is a stalkwise injective -module.
Cite
@article{arxiv.1703.01247,
title = {Regularity of pseudomeromorphic currents},
author = {Mats Andersson and Elizabeth Wulcan},
journal= {arXiv preprint arXiv:1703.01247},
year = {2017}
}