no. 7

Every connected sum of lens spaces is a real component of a uniruled algebraic variety  [ Toute somme connexe d'espaces lenticulaires est une composante réelle d'une variété algébrique uniréglée ]
Annales de l'Institut Fourier, Tome 55 (2005) no. 7, pp. 2475-2487.

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.

DOI : https://doi.org/10.5802/aif.2167
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 = {http://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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