We define a geometric convexity notion for certain open subsets of . We prove some results about local cohomology expliciting the topology of the last non zero cohomology group ; the cohomology here considered is the Dolbeault’s cohomology of differential forms.
On définit une notion de convexité géométrique pour des ensembles ouverts de . On démontre des résultats de cohomologie locale précisant la topologie du dernier groupe de cohomologie non nul; la cohomologie considérée ici est la cohomologie de Dolbeault pour les formes différentielles.
@article{AIF_1990__40_3_597_0, author = {Fabiano, A. and Pietramala, P.}, title = {Sur la convexit\'e holomorphe. {Th\'eorie} locale}, journal = {Annales de l'Institut Fourier}, pages = {597--617}, publisher = {Imprimerie Louis-Jean}, address = {Gap}, volume = {40}, number = {3}, year = {1990}, doi = {10.5802/aif.1225}, mrnumber = {92g:32039}, zbl = {0703.32006}, language = {fr}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1225/} }
TY - JOUR TI - Sur la convexité holomorphe. Théorie locale JO - Annales de l'Institut Fourier PY - 1990 DA - 1990/// SP - 597 EP - 617 VL - 40 IS - 3 PB - Imprimerie Louis-Jean PP - Gap UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1225/ UR - https://www.ams.org/mathscinet-getitem?mr=92g:32039 UR - https://zbmath.org/?q=an%3A0703.32006 UR - https://doi.org/10.5802/aif.1225 DO - 10.5802/aif.1225 LA - fr ID - AIF_1990__40_3_597_0 ER -
Fabiano, A.; Pietramala, P. Sur la convexité holomorphe. Théorie locale. Annales de l'Institut Fourier, Volume 40 (1990) no. 3, pp. 597-617. doi : 10.5802/aif.1225. https://aif.centre-mersenne.org/articles/10.5802/aif.1225/
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