Abstract : Let k be an algebraically closed field. Chambert-Loir proved that thé etale fundamental group of a proper normal rationally chain connected variety over k is finite. We prove that the fundamental group scheme of a proper normal rationally chain connected variety over k is finite too. In particular, the fundamental group scheme of a Fano variety is finite.
Type de document :
Article dans une revue
International Mathematics Research Notices, Oxford University Press (OUP), 2015, 2016 (1), pp.311-324. 〈10.1093/imrn/rnv132〉
https://hal.univ-cotedazur.fr/hal-01342088
Contributeur : Marco Antei
<>
Soumis le : mardi 5 juillet 2016 - 13:56:54
Dernière modification le : jeudi 3 mai 2018 - 13:32:58
Document(s) archivé(s) le : jeudi 6 octobre 2016 - 11:25:01
Marco Antei, Indranil Biswas. On the Fundamental Group Scheme of Rationally Chain-Connected Varieties. International Mathematics Research Notices, Oxford University Press (OUP), 2015, 2016 (1), pp.311-324. 〈10.1093/imrn/rnv132〉. 〈hal-01342088〉
