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Endlicher Körper/Projektive glatte Kurve/Vektorbündel/Affinität und Nichtexistenz von Kurven/Fakt/en

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Let denote a smooth projective curve over the algebraic closure of a finite field , let be a locally free sheaf on and let be a cohomology class with corresponding torsor .

Then is affine if and only if it does not contain any projective curve.