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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{10_5817_AM2018_4_239,
     author = {Navarro, A. and Navarro, J. and Tejero Prieto, C.},
     title = {Natural operations on holomorphic forms},
     journal = {Archivum mathematicum},
     pages = {239--254},
     publisher = {mathdoc},
     volume = {54},
     number = {4},
     year = {2018},
     doi = {10.5817/AM2018-4-239},
     mrnumber = {3887363},
     zbl = {06997353},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2018-4-239/}
}
TY  - JOUR
AU  - Navarro, A.
AU  - Navarro, J.
AU  - Tejero Prieto, C.
TI  - Natural operations on holomorphic forms
JO  - Archivum mathematicum
PY  - 2018
SP  - 239
EP  - 254
VL  - 54
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2018-4-239/
DO  - 10.5817/AM2018-4-239
LA  - en
ID  - 10_5817_AM2018_4_239
ER  - 
%0 Journal Article
%A Navarro, A.
%A Navarro, J.
%A Tejero Prieto, C.
%T Natural operations on holomorphic forms
%J Archivum mathematicum
%D 2018
%P 239-254
%V 54
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2018-4-239/
%R 10.5817/AM2018-4-239
%G en
%F 10_5817_AM2018_4_239
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

Cité par Sources :