Year: 2014
Type: preprint
Abstract: Let $i\colon X \to Y$ be pure-dimensional reduced subvariety of a smooth manifold $Y$. We prove that the direct image of pseudomeromorphic currents on $X$ are pseudomeromorphic on $Y$. We also prove a partial converse: if $i_*τ$ is pseudomeromorphic and has the standard extension property, then $τ$ is pseudomermorphic on $X$.
Source: arXiv (Cornell University)
Author: Andersson, Mats
Institutions: Chalmers University of Technology, University of Gothenburg
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Vetenskapsrådet
OpenAlex ID: W2952063423