no. 5
Rationally connected threefolds with nef and bad anticanonical divisor
[Variétés rationnellement connexes de dimension trois à diviseur anticanonique nef et mauvais]
Xie, Zhixin1
1 Universität des Saarlandes, Saarbrücken (Germany)
Annales de l'Institut Fourier, Tome 74 (2024) no. 5, pp. 1819-1850.

Soit X une variété complexe projective lisse rationnellement connexe de dimension trois à fibré anticanonique -K X nef. On donne une classification dans le cas où -K X n’est pas semiample.

Let X be a smooth complex projective rationally connected threefold with nef anticanonical divisor -K X . We give a classification for the case when -K X is not semi-ample.

Reçu le :
Révisé le :
Accepté le :
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DOI : 10.5802/aif.3620
Classification : 14E30, 14M22
Keywords: Minimal Model Program, rationally connected threefolds, anticanonical class.
Mot clés : Programme du modèle minimal, variétés rationnellement connexes de dimension trois, classe anticanonique.

Xie, Zhixin 1

1 Universität des Saarlandes, Saarbrücken (Germany)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Xie, Zhixin. Rationally connected threefolds with nef and bad anticanonical divisor. Annales de l'Institut Fourier, Tome 74 (2024) no. 5, pp. 1819-1850. doi : 10.5802/aif.3620. https://aif.centre-mersenne.org/articles/10.5802/aif.3620/

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