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arXiv · 1401.0618

Pseudomeromorphic currents on subvarieties

Mats Andersson
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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 $i_*\tau$ is pseudomeromorphic and has the standard extension property, then $\tau$ is pseudomermorphic on $X$.

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Mats Andersson. 2014-01-03. Pseudomeromorphic currents on subvarieties. https://arxiv.org/abs/1401.0618

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