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The Frobenius action on rank 2 vector bundles over curves in small genus and small characteristic

The Frobenius action on rank 2 vector bundles over curves in small genus and small characteristic

Let X be a general proper and smooth curve of genus 2 (resp. of genus 3) defined over an algebraically closed field of characteristic p. When 3≤p≤7, the action of Frobenius on rank 2 semi-stable vector bundles with trivial determinant is completely determined by its restrictions to the 30 lines …