Pseudomeromorphic currents on subvarieties

Abstract

Let $i:X\to Y$ 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 $i_{\ast }\tau$ is pseudomeromorphic and has the standard extension property, then $\tau$ is pseudomermorphic on $X$.

References in corpus (2)

• Global effective versions of the Brian\ccon-Skoda-Huneke theorem
• Residual d-bar-cohomology and the complex Radon transform on subvarieties of CPn

Cited by in corpus (1)

• Explicit Serre duality on complex spaces