Natural operations on holomorphic forms
Complex Variables
2019-03-12 v1 Differential Geometry
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 {\it \`a la Galois}.
Keywords
Cite
@article{arxiv.1610.04559,
title = {Natural operations on holomorphic forms},
author = {Alberto Navarro and Jose Navarro and Carlos Tejero Prieto},
journal= {arXiv preprint arXiv:1610.04559},
year = {2019}
}
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21 pages