Section conjecture

Template:Short description In anabelian geometry, a branch of algebraic geometry, the section conjecture gives a conjectural description of the splittings of the group homomorphism ${\pi }_1(X)\to \mathrm{Gal}(k)$, where $X$ is a complete smooth curve of genus at least 2 over a field $k$ that is finitely generated over $\mathbb{Q}$, in terms of decomposition groups of rational points of $X$. The conjecture was introduced by Template:Harvs in a 1983 letter to Gerd Faltings.

References

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External links

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