Regularity of pseudomeromorphic currents
Journal article, 2021

Let X be a (reduced) pure-dimensional analytic space. We prove that direct images of principal value and residue currents on X are smooth outside sets that are small in a certain sense. We also prove that the sheaf of such currents, provided that X is smooth, is a stalkwise injective OX-module.

Author

Mats Andersson

Chalmers, Mathematical Sciences, Algebra and geometry

Elizabeth Wulcan

Chalmers, Mathematical Sciences, Algebra and geometry

Bulletin des Sciences Mathematiques

0007-4497 (ISSN)

Vol. 173

Roots

Basic sciences

Subject Categories

Mathematical Analysis

DOI

10.1016/j.bulsci.2021.103055

More information

Latest update

10/11/2021