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Direct images of semi-meromorphic currents
Andersson, Mats...
Direct images of semi-meromorphic currents by Andersson, Mats ( Author )
Australian National University
06-09-2023
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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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1411.4832
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