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- Title
NATURAL OPERATIONS ON HOLOMORPHIC FORMS.
- Authors
NAVARRO, A.; NAVARRO, J.; PRIETO, C. TEJERO
- Abstract
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.
- Subjects
HOLOMORPHIC functions; MANIFOLDS (Mathematics); LINEAR operators; DIFFERENTIAL operators; EXTERIOR differential systems
- Publication
Archivum Mathematicum, 2018, Vol 54, Issue 4, p239
- ISSN
0044-8753
- Publication type
Article
- DOI
10.5817/AM2018-4-239