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etale -> étale
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LSpice
LSpice
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Surjective etaleétale map betweenfrom simply connected curve over $\mathbb{C}$

Let $X$ be a simply connected algebraic curve over $\mathbb{C}$ and $f:X\rightarrow \mathbb{A}^1_{\mathbb{C}}$ is a surjective etaleétale map. Then is it true $f$ is finite?

All the domains of non finite surjective etaleétale maps I have ever seen are not simply connected. So I conjectured this.

Surjective etale map between simply connected curve over $\mathbb{C}$

Let $X$ be a simply connected algebraic curve over $\mathbb{C}$ and $f:X\rightarrow \mathbb{A}^1_{\mathbb{C}}$ is a surjective etale map. Then is it true $f$ is finite?

All the domains of non finite surjective etale maps I have ever seen are not simply connected. So I conjectured this.

Surjective étale map from simply connected curve over $\mathbb{C}$

Let $X$ be a simply connected algebraic curve over $\mathbb{C}$ and $f:X\rightarrow \mathbb{A}^1_{\mathbb{C}}$ is a surjective étale map. Then is it true $f$ is finite?

All the domains of non finite surjective étale maps I have ever seen are not simply connected. So I conjectured this.

Corrected typo in title
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edit approved Apr 3 at 22:18
J. W. Tanner
edit approved Apr 3 at 22:18
J. W. Tanner
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Surjective elaleetale map between simply connected curve over $\mathbb{C}$

Let $X$ isbe a simply connected algebraic curve over $\mathbb{C}$ and $f:X\rightarrow \mathbb{A}^1_{\mathbb{C}}$ is a surjective etale map. Then is it true $f$ is finite.?

All the domains of non finite surjective etale maps I have ever seen are not simply connected. So I conjectured this.

Surjective elale map between simply connected curve over $\mathbb{C}$

Let $X$ is a simply connected algebraic curve over $\mathbb{C}$ and $f:X\rightarrow \mathbb{A}^1_{\mathbb{C}}$ is a surjective etale map. Then is it true $f$ is finite.

All the domains of non finite surjective etale maps I have ever seen are not simply connected. So I conjectured this.

Surjective etale map between simply connected curve over $\mathbb{C}$

Let $X$ be a simply connected algebraic curve over $\mathbb{C}$ and $f:X\rightarrow \mathbb{A}^1_{\mathbb{C}}$ is a surjective etale map. Then is it true $f$ is finite?

All the domains of non finite surjective etale maps I have ever seen are not simply connected. So I conjectured this.

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George
George
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Surjective elale map between simply connected curve over $\mathbb{C}$

Let $X$ is a simply connected algebraic curve over $\mathbb{C}$ and $f:X\rightarrow \mathbb{A}^1_{\mathbb{C}}$ is a surjective etale map. Then is it true $f$ is finite.

All the domains of non finite surjective etale maps I have ever seen are not simply connected. So I conjectured this.