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Torsor über Kurve/Stark semistabil/Affinitätskriterium/Fakt/en

Aus Wikiversity

Let C denote a smooth projective curve over an algebraically closed field K and let 𝒮 be a strongly semistable vector bundle over C together with a cohomology class  cH1(C,𝒮)

Then the torsor T(c) is an affine scheme if and only if  deg(𝒮)<0  and  c0  (Fe(c)0 for all e in positive characteristic).