Torsor über Kurve/Starke Harder-Narasimhan Filtration/Affinitätskriterium/Fakt/en

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Let denote a smooth projective curve over an algebraically closed field and let be a vector bundle over together with a cohomology class . Let

be a strong Harder-Narasimhan filtration. We choose such that has degree and that has degree . We set .

Then the following are equivalent.

  1. The torsor is not an affine scheme.
  2. Some Frobenius power of the image of inside is .