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
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.
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