论文标题

在有限生成的字段上,属0曲线的几何可溶剂可溶解的Grothendieck猜想

The geometrically m-step solvable Grothendieck conjecture for genus 0 curves over finitely generated fields

论文作者

Yamaguchi, Naganori

论文摘要

在本文中,我们为Anabelian几何形状中的几何可溶解的Grethendieck猜想提供了一些部分结果。除其他事项外,我们证明了在任意特征的素数中有限生成的田间属0曲线的几何3步溶性猜想。

In this paper, we present some partial results for the geometrically m-step solvable Grothendieck conjecture in anabelian geometry. Among other things, we prove the geometrically 3-step solvable Grothendieck conjecture for genus 0 curves over fields finitely generated over the prime field of arbitrary characteristic.

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