Geodesic
Natural operations on holomorphic forms
Archivum mathematicum, Tome 54 (2018) no. 4, pp. 239-254.

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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.
DOI : 10.5817/AM2018-4-239
Classification : 32L05, 58A32
Keywords: natural bundles; natural operations 
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     title = {Natural operations on holomorphic forms},
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Navarro, A.; Navarro, J.; Tejero Prieto, C. Natural operations on holomorphic forms. Archivum mathematicum, Tome 54 (2018) no. 4, pp. 239-254. doi : 10.5817/AM2018-4-239. http://geodesic.mathdoc.fr/articles/10.5817/AM2018-4-239/

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