We construct a non-polynomially convex compact subset of the unit torus in with polynomially convex hull containing no analytic structure.
Nous donnons une construction d’un compact non-polynomialement convexe dans le tore standard de tel que son enveloppe polynomiale soit sans structure analytique.
@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}, pages = {785--795}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {48}, number = {3}, year = {1998}, doi = {10.5802/aif.1639}, zbl = {0910.32013}, mrnumber = {99g:32022}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1639/} }
TY - JOUR AU - Alexander, Herbert TI - Hulls of subsets of the torus in ${\mathbb {C}}^2$ JO - Annales de l'Institut Fourier PY - 1998 SP - 785 EP - 795 VL - 48 IS - 3 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1639/ DO - 10.5802/aif.1639 LA - en ID - AIF_1998__48_3_785_0 ER -
%0 Journal Article %A Alexander, Herbert %T Hulls of subsets of the torus in ${\mathbb {C}}^2$ %J Annales de l'Institut Fourier %D 1998 %P 785-795 %V 48 %N 3 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1639/ %R 10.5802/aif.1639 %G en %F AIF_1998__48_3_785_0
Alexander, Herbert. Hulls of subsets of the torus in ${\mathbb {C}}^2$. Annales de l'Institut Fourier, Volume 48 (1998) no. 3, pp. 785-795. doi : 10.5802/aif.1639. https://aif.centre-mersenne.org/articles/10.5802/aif.1639/
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