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# Direct images of semi-meromorphic currents

Artikel i vetenskaplig tidskrift
Författare Mats Andersson Elizabeth Wulcan Annales de l'Institut Fourier 68 2 875-900 0373-0956 2018 Institutionen för matematiska vetenskaper 875-900 en dx.doi.org/10.5802/aif.3180 residue current, semi-meromorphic current, analytic space, pseudomeromorphic current Algebra och logik, Geometri, Matematisk analys

## Sammanfattning

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 $\mathcal{PM}_X$ of pseudomeromorphic currents on $X$. We also prove that $ASM(X)$ as well as $\mathcal{PM}_X$ and certain subsheaves are closed under the action of holomorphic differential operators and interior multiplication by holomorphic vector fields.