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arXiv · 1411.4832

Direct images of semi-meromorphic currents

Mats Andersson·Elizabeth Wulcan
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Abstract

We introduce a calculus for the class $ASM(X)$ of direct images of semi-meromorphic currents on a reduded analytic space $X$, that extends the classical calculus due to Coleff, Herrera and Passare. Our main result is that each element in this class acts as a kind of multiplication on the sheaf $\PM_X$ of pseudomeromorphic currents on $X$. We also prove that $ASM(X)$ as well as $\PM_X$ and certain subsheaves are closed under the action of holomorphic differential operators and interior multiplication by holomorphic vector fields.

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Mats Andersson, Elizabeth Wulcan. 2014-11-18. Direct images of semi-meromorphic currents. https://arxiv.org/abs/1411.4832

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