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- Andersson, Mats,1957Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences (author)
Direct images of semi-meromorphic currents : Images directes de courants semi-méromorphes
- Article/chapterEnglish2018
Publisher, publication year, extent ...
- Cellule MathDoc/CEDRAM,2018
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- LIBRIS-ID:oai:gup.ub.gu.se/269342
- https://gup.ub.gu.se/publication/269342URI
- https://doi.org/10.5802/aif.3180DOI
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- Language:English
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- 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.
Subject headings and genre
- NATURVETENSKAP Matematik Geometri hsv//swe
- NATURAL SCIENCES Mathematics Geometry hsv//eng
- NATURVETENSKAP Matematik Algebra och logik hsv//swe
- NATURAL SCIENCES Mathematics Algebra and Logic hsv//eng
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- residue current
- semi-meromorphic current
- analytic space
- pseudomeromorphic current
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- Wulcan, Elizabeth,1978Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences(Swepub:gu)xwulel (author)
- Göteborgs universitetInstitutionen för matematiska vetenskaper (creator_code:org_t)
Related titles
- In:Annales de l'Institut Fourier: Cellule MathDoc/CEDRAM68:2, s. 875-9000373-09561777-5310
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