Nous donnons une construction d’un compact non-polynomialement convexe dans le tore standard de tel que son enveloppe polynomiale soit sans structure analytique.
We construct a non-polynomially convex compact subset of the unit torus in with polynomially convex hull containing no analytic structure.
@article{AIF_1998__48_3_785_0,
author = {Alexander, Herbert},
title = {Hulls of subsets of the torus in ${\mathbb {C}}^2$},
journal = {Annales de l'Institut Fourier},
volume = {48},
year = {1998},
pages = {785-795},
doi = {10.5802/aif.1639},
mrnumber = {99g:32022},
zbl = {0910.32013},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_1998__48_3_785_0}
}
Alexander, Herbert. Hulls of subsets of the torus in ${\mathbb {C}}^2$. Annales de l'Institut Fourier, Tome 48 (1998) pp. 785-795. doi : 10.5802/aif.1639. http://gdmltest.u-ga.fr/item/AIF_1998__48_3_785_0/
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