摘要
Let X be a projective curve of genus 2 over an algebraically closed field of characteristic 2. The Frobenius map on X induces a rational map on the moduli scheme of rank-2 bundles. We show that up to isomorphism, there is only one (up to tensoring by an order two line bundle) semi-stable vector bundle of rank 2 (with determinant equal to a theta characteristic) whose Frobenius pull-back is not semi-stable. The indeterminacy of the Frobenius map at this point can be resolved by introducing Higgs bundles.
原文 | English |
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頁(從 - 到) | 315-321 |
頁數 | 7 |
期刊 | Compositio Mathematica |
卷 | 122 |
發行號 | 3 |
DOIs | |
出版狀態 | Published - 2000 |
All Science Journal Classification (ASJC) codes
- 代數與數理論