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- W1634211437 abstract "Let X be a smooth projective curve of genus g>1 over an algebraically closed field of characteristic 2. Pull-back by the (absolute) Frobenius on X only defines a rational morphism on the moduli scheme of rank-2 vector bundles on X, because the Frobenius pull-back may destory stability of a vector bundle. This paper introduces and studies a Harder-Narasimhan type stratification on the moduli scheme and proves that the family of semi-stable rank-2 vector bundles (with a fixed degree) whose Frobenius pull-back are not semi-stable is parameterized by an irreducible subscheme of dimension 3g-4." @default.
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- W1634211437 date "2001-11-07" @default.
- W1634211437 modified "2023-09-27" @default.
- W1634211437 title "Frobenius pull-back and stability of vector bundles in characteristic 2" @default.
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