Moduli of Vector Bundles on Curves in Positive Characteristics

Kirti Joshi, Eugene Z. Xia

研究成果: Article同行評審

11 引文 斯高帕斯(Scopus)

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
頁(從 - 到)315-321
頁數7
期刊Compositio Mathematica
122
發行號3
DOIs
出版狀態Published - 2000

All Science Journal Classification (ASJC) codes

  • 代數與數理論

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