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Title: Natural operations on holomorphic forms (English)
Author: Navarro, A.
Author: Navarro, J.
Author: Tejero Prieto, C.
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 54
Issue: 4
Year: 2018
Pages: 239-254
Summary lang: English
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Category: math
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Summary: We prove that the only natural differential operations between holomorphic forms on a complex manifold are those obtained using linear combinations, the exterior product and the exterior differential. In order to accomplish this task we first develop the basics of the theory of natural holomorphic bundles over a fixed manifold, making explicit its Galoisian structure by proving a categorical equivalence à la Galois. (English)
Keyword: natural bundles
Keyword: natural operations
MSC: 32L05
MSC: 58A32
idZBL: Zbl 06997353
idMR: MR3887363
DOI: 10.5817/AM2018-4-239
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Date available: 2018-12-06T16:10:55Z
Last updated: 2019-08-06
Stable URL: http://hdl.handle.net/10338.dmlcz/147500
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