On the Kawamata–Viehweg vanishing theorem for log Calabi–Yau surfaces in large characteristic
[Sur le théorème d’annulation de Kawamata–Viehweg pour les surfaces log Calabi–Yau en grande caractéristique]
Kawakami, Tatsuro1
1 Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606-8502 (Japan)
Annales de l'Institut Fourier, Online first, 19 p.

Nous démontrons le théorème d’annulation de Kawamata–Viehweg pour une surface log Calabi–Yau (X,B) sur un corps algébriquement clos de grande caractéristique, lorsque B a des coefficients standards.

We prove that the Kawamata–Viehweg vanishing theorem holds for a log Calabi–Yau surface (X,B) over an algebraically closed field of large characteristic when B has standard coefficients.

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Révisé le :
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DOI : 10.5802/aif.3709
Classification : 14F17, 14E30, 14D15
Keywords: Kawamata–Viehweg vanishing, log Calabi–Yau surfaces, liftability to the ring of Witt vectors, positive characteristic
Mots-clés : annulation de Kawamata–Viehweg, surfaces log Calabi–Yau, relèvements à l’anneau des vecteurs de Witt, caractéristique positive

Kawakami, Tatsuro 1

1 Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606-8502 (Japan) 
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Kawakami, Tatsuro. On the Kawamata–Viehweg vanishing theorem for log Calabi–Yau surfaces in large characteristic. Annales de l'Institut Fourier, Online first, 19 p.

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