Nous construisons de nouvelles variétés complexes compactes comme espaces d’orbites d’actions linéaires de , généralisant en cela les constructions de Meersseman. Nous donnons également certaines propriétés de ces variétés.
In this paper, we construct new compact complex manifolds as spaces of orbits of linear actions on , generalizing Meersseman’s results. We also give some properties of our manifolds.
Classification : 32Q99, 32M05, 05A05
Mots clés : variétés complexes compactes, groupes de Lie abéliens complexes, combinatoire sur les ensembles finis
@article{AIF_2001__51_5_1259_0, author = {Bosio, Fr\'ed\'eric}, title = {Vari\'et\'es complexes compactes : une g\'en\'eralisation de la construction de Meersseman et L\'opez de Medrano-Verjovsky}, journal = {Annales de l'Institut Fourier}, pages = {1259--1297}, publisher = {Association des Annales de l'institut Fourier}, volume = {51}, number = {5}, year = {2001}, doi = {10.5802/aif.1855}, zbl = {0994.32018}, mrnumber = {1860666}, language = {fr}, url = {http://www.numdam.org/item/AIF_2001__51_5_1259_0/} }
Bosio, Frédéric. Variétés complexes compactes : une généralisation de la construction de Meersseman et López de Medrano-Verjovsky. Annales de l'Institut Fourier, Tome 51 (2001) no. 5, pp. 1259-1297. doi : 10.5802/aif.1855. http://www.numdam.org/item/AIF_2001__51_5_1259_0/
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