Nous montrons qu'une somme connexe finie d'espaces lenticulaires est difféomorphe à une composante réelle d'une variété projective uniréglée et prouvons une conjecture de János Kollár.
We show that any finite connected sum of lens spaces is diffeomorphic to a real component of a uniruled projective variety, and prove a conjecture of János Kollár.
Classification : 14P25
Mots clés : variété uniréglée, variété de Seifert, espace lenticulaire, somme connexe, modèle algébrique réel, fibré en droite équivariant
@article{AIF_2005__55_7_2475_0, author = {Huisman, Johannes and Mangolte, Fr\'ed\'eric}, title = {Every connected sum of lens spaces is a real component of a uniruled algebraic variety}, journal = {Annales de l'Institut Fourier}, pages = {2475--2487}, publisher = {Association des Annales de l'institut Fourier}, volume = {55}, number = {7}, year = {2005}, doi = {10.5802/aif.2167}, zbl = {1092.14070}, mrnumber = {2207390}, language = {en}, url = {www.numdam.org/item/AIF_2005__55_7_2475_0/} }
Huisman, Johannes; Mangolte, Frédéric. Every connected sum of lens spaces is a real component of a uniruled algebraic variety. Annales de l'Institut Fourier, Tome 55 (2005) no. 7, pp. 2475-2487. doi : 10.5802/aif.2167. http://www.numdam.org/item/AIF_2005__55_7_2475_0/
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