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arXiv 0907.3375math.AG
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特征$p>0$中的Simply connected射影流形没有非平凡层丛

Simply connected projective manifolds in characteristic $p>0$ have no nontrivial stratified bundles

Hélène Esnault, Vikram Mehta

摘要:

我们证明了特征$p>0$中的单连通射影流形没有非平凡的层丛。这对D.吉塞克证明使用Hrushovski的周期点定理。

英文摘要:

We show that simply connected projective manifolds in characteristic $p>0$ have no nontrivial stratified bundles. This gives a positive answer to a conjecture by D. Gieseker. The proof uses Hrushovski's theorem on periodic points.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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