Affine Anabelian Curves in Positive Characteristic
Affine Anabelian Curves in Positive Characteristic
复制标题
正特征中的仿射阿贝尔曲线
DOI：
10.1023/a:1020290619656
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发表时间：
2002
影响因子：
1.8
通讯作者：
J. Stix
中科院分区：
文献类型：
--
作者：
J. Stix
研究了拓扑上一致的态射，推广到了仿射双曲曲线的所有特征，并部分地重新证明了Tamagawa关于仿射双曲曲线的Anabel几何中的Grothendieck猜想的定理.该定理现在处理的π1tame的曲线在一个非线性生成的领域和它的影响的集合的同构。泛同胚是形式反演的。
An investigation of morphisms that coincide topologically is used to generalize to all characteristics and partly reprove Tamagawa's theorem on the Grothendieck conjecture in anabelian geometry for affine hyperbolic curves. The theorem now deals with π1tame of curves over a finitely generated field and its effect on the sets of isomorphisms. Universal homeomorphisms are formally inverted.