Not Simply Connected

Algebraic Geometry
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Tsakanikas Nickos
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Not Simply Connected

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Post by Tsakanikas Nickos »

Let $X$ be a non-singular projective curve over an algebraically closed field $k$ of genus $g(X) \geq 1$. Show that $X$ is not simply connected, i.e. it has a non-trivial étale covering.
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