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, Online first, 32 p.

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.

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Révisé 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) 
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Xie, Zhixin. Rationally connected threefolds with nef and bad anticanonical divisor. Annales de l'Institut Fourier, Online first, 32 p.

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